90274400 has 36 divisors (see below), whose sum is σ = 220384332. Its totient is φ = 36109440.

The previous prime is 90274381. The next prime is 90274417. The reversal of 90274400 is 447209.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90274400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55622 + ... + 57221.

It is an arithmetic number, because the mean of its divisors is an integer number (6121787).

Almost surely, 2^90274400 is an apocalyptic number.

It is an amenable number.

90274400 is an abundant number, since it is smaller than the sum of its proper divisors (130109932).

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

90274400 is a wasteful number, since it uses less digits than its factorization.

90274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112863 (or 112850 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 90274400 is about 9501.2841237382. The cubic root of 90274400 is about 448.5954560772.

The spelling of 90274400 in words is "ninety million, two hundred seventy-four thousand, four hundred".