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8648640 = 2633571113

8648640 has 448 divisors, whose sum is σ = 40965120. Its totient is φ = 1658880.

The previous prime is 8648557. The next prime is 8648677. The reversal of 8648640 is 468468.

8648640 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 640 = 666.

8648640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 8648595 and 8648604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665274 + ... + 665286.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

8648640 is a highly composite number, because it has more divisors than any smaller number.

8648640 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 28648640 is an apocalyptic number.

8648640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

8648640 is an abundant number, since it is smaller than the sum of its proper divisors (32316480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8648640 is a wasteful number, since it uses less digits than its factorization.

8648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8648640 is about 2940.8570179456. The cubic root of 8648640 is about 205.2654898520.

The spelling of 8648640 in words is "eight million, six hundred forty-eight thousand, six hundred forty".