916256800 has 72 divisors (see below), whose sum is σ = 2244489156. Its totient is φ = 365245440.

The previous prime is 916256743. The next prime is 916256839. The reversal of 916256800 is 8652619.

It can be written as a sum of positive squares in 6 ways, for example, as 104976 + 916151824 = 324^2 + 30268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 916256800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251794 + ... + 255406.

Almost surely, 2^916256800 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 916256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122244578).

916256800 is an abundant number, since it is smaller than the sum of its proper divisors (1328232356).

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

916256800 is a wasteful number, since it uses less digits than its factorization.

916256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 916256800 is about 30269.7340589573. The cubic root of 916256800 is about 971.2679772422.

The spelling of 916256800 in words is "nine hundred sixteen million, two hundred fifty-six thousand, eight hundred".