916984800 has 432 divisors, whose sum is σ = 3454935120. Its totient is φ = 237219840.

The previous prime is 916984763. The next prime is 916984819. The reversal of 916984800 is 8489619.

916984800 is a `hidden beast` number, since 9 + 169 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×916984800² = 1681722246862080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 10303156 + ... + 10303244.

It is an arithmetic number, because the mean of its divisors is an integer number (7997535).

Almost surely, 2^916984800 is an apocalyptic number.

916984800 is a gapful number since it is divisible by the number (90) 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 916984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727467560).

916984800 is an abundant number, since it is smaller than the sum of its proper divisors (2537950320).

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

916984800 is a wasteful number, since it uses less digits than its factorization.

916984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 916984800 is about 30281.7568843025. The cubic root of 916984800 is about 971.5251452843.

The spelling of 916984800 in words is "nine hundred sixteen million, nine hundred eighty-four thousand, eight hundred".