916229664 has 192 divisors, whose sum is σ = 3073593600. Its totient is φ = 260112384.

The previous prime is 916229641. The next prime is 916229701. The reversal of 916229664 is 466922619.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191072 + ... + 1191840.

It is an arithmetic number, because the mean of its divisors is an integer number (16008300).

Almost surely, 2^916229664 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 916229664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536796800).

916229664 is an abundant number, since it is smaller than the sum of its proper divisors (2157363936).

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

916229664 is a wasteful number, since it uses less digits than its factorization.

916229664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 978 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 916229664 is about 30269.2858191270. The cubic root of 916229664 is about 971.2583887411.

The spelling of 916229664 in words is "nine hundred sixteen million, two hundred twenty-nine thousand, six hundred sixty-four".