8918640 has 80 divisors (see below), whose sum is σ = 30727200. Its totient is φ = 2377728.

The previous prime is 8918639. The next prime is 8918653. The reversal of 8918640 is 468198.

It is a happy number.

8918640 is a `hidden beast` number, since 8 + 9 + 1 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 8918595 and 8918604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96 + ... + 4224.

It is an arithmetic number, because the mean of its divisors is an integer number (384090).

Almost surely, 2^8918640 is an apocalyptic number.

8918640 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 8918640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15363600).

8918640 is an abundant number, since it is smaller than the sum of its proper divisors (21808560).

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

8918640 is a wasteful number, since it uses less digits than its factorization.

8918640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8918640 is about 2986.4092150943. The cubic root of 8918640 is about 207.3796854168.

The spelling of 8918640 in words is "eight million, nine hundred eighteen thousand, six hundred forty".