80648640 has 168 divisors, whose sum is σ = 284579568. Its totient is φ = 20951040.

The previous prime is 80648609. The next prime is 80648657. The reversal of 80648640 is 4684608.

80648640 is a `hidden beast` number, since 8 + 0 + 6 + 4 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 80648595 and 80648604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117739 + ... + 118421.

It is an arithmetic number, because the mean of its divisors is an integer number (1693926).

Almost surely, 2^80648640 is an apocalyptic number.

80648640 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 80648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142289784).

80648640 is an abundant number, since it is smaller than the sum of its proper divisors (203930928).

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

80648640 is a wasteful number, since it uses less digits than its factorization.

80648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 734 counting only the distinct ones).

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

The square root of 80648640 is about 8980.4587856078. The cubic root of 80648640 is about 432.0483484982.

The spelling of 80648640 in words is "eighty million, six hundred forty-eight thousand, six hundred forty".