916088832 has 96 divisors (see below), whose sum is σ = 2713838400. Its totient is φ = 305344512.

The previous prime is 916088807. The next prime is 916088839. The reversal of 916088832 is 238880619.

916088832 is a `hidden beast` number, since 9 + 1 + 608 + 8 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (916088839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47013 + ... + 63579.

It is an arithmetic number, because the mean of its divisors is an integer number (28269150).

Almost surely, 2^916088832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356919200).

916088832 is an abundant number, since it is smaller than the sum of its proper divisors (1797749568).

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

916088832 is a wasteful number, since it uses less digits than its factorization.

916088832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16598 (or 16572 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 916088832 is about 30266.9594112127. The cubic root of 916088832 is about 971.2086227360.

The spelling of 916088832 in words is "nine hundred sixteen million, eighty-eight thousand, eight hundred thirty-two".