916438320 has 160 divisors (see below), whose sum is σ = 3607626240. Its totient is φ = 209468160.

The previous prime is 916438301. The next prime is 916438321. The reversal of 916438320 is 23834619.

916438320 is a `hidden beast` number, since 9 + 1 + 643 + 8 + 3 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (916438321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15186 + ... + 45425.

It is an arithmetic number, because the mean of its divisors is an integer number (22547664).

Almost surely, 2^916438320 is an apocalyptic number.

916438320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

916438320 is an abundant number, since it is smaller than the sum of its proper divisors (2691187920).

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

916438320 is a wasteful number, since it uses less digits than its factorization.

916438320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60640 (or 60628 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 916438320 is about 30272.7322850119. The cubic root of 916438320 is about 971.3321124358.

The spelling of 916438320 in words is "nine hundred sixteen million, four hundred thirty-eight thousand, three hundred twenty".