90464800 has 36 divisors (see below), whose sum is σ = 220849146. Its totient is φ = 36185600.

The previous prime is 90464783. The next prime is 90464821. The reversal of 90464800 is 846409.

It can be written as a sum of positive squares in 3 ways, for example, as 70358544 + 20106256 = 8388^2 + 4484^2 .

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, 55741 + ... + 57340.

Almost surely, 2^90464800 is an apocalyptic number.

It is an amenable number.

90464800 is an abundant number, since it is smaller than the sum of its proper divisors (130384346).

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

90464800 is a wasteful number, since it uses less digits than its factorization.

90464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113101 (or 113088 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 90464800 is about 9511.2985443629. The cubic root of 90464800 is about 448.9106159176.

The spelling of 90464800 in words is "ninety million, four hundred sixty-four thousand, eight hundred".