916576416 has 144 divisors (see below), whose sum is σ = 3135787200. Its totient is φ = 248085504.

The previous prime is 916576373. The next prime is 916576439. The reversal of 916576416 is 614675619.

916576416 is a `hidden beast` number, since 9 + 165 + 76 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×916576416² = 1680224652734810112, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 26340 + ... + 50268.

It is an arithmetic number, because the mean of its divisors is an integer number (21776300).

Almost surely, 2^916576416 is an apocalyptic number.

916576416 is a gapful number since it is divisible by the number (96) 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 916576416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567893600).

916576416 is an abundant number, since it is smaller than the sum of its proper divisors (2219210784).

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

916576416 is a wasteful number, since it uses less digits than its factorization.

916576416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23971 (or 23960 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 916576416 is about 30275.0130635810. The cubic root of 916576416 is about 971.3808992588.

The spelling of 916576416 in words is "nine hundred sixteen million, five hundred seventy-six thousand, four hundred sixteen".