90416800 has 36 divisors (see below), whose sum is σ = 220731966. Its totient is φ = 36166400.

The previous prime is 90416773. The next prime is 90416803. The reversal of 90416800 is 861409.

It can be written as a sum of positive squares in 3 ways, for example, as 76667536 + 13749264 = 8756^2 + 3708^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90416803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55711 + ... + 57310.

Almost surely, 2^90416800 is an apocalyptic number.

It is an amenable number.

90416800 is an abundant number, since it is smaller than the sum of its proper divisors (130315166).

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

90416800 is a wasteful number, since it uses less digits than its factorization.

90416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113041 (or 113028 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 90416800 is about 9508.7748948011. The cubic root of 90416800 is about 448.8312055772.

The spelling of 90416800 in words is "ninety million, four hundred sixteen thousand, eight hundred".