10890400 has 36 divisors (see below), whose sum is σ = 26588142. Its totient is φ = 4355840.

The previous prime is 10890389. The next prime is 10890413. The reversal of 10890400 is 409801.

It can be written as a sum of positive squares in 3 ways, for example, as 3984016 + 6906384 = 1996^2 + 2628^2 .

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, 6007 + ... + 7606.

Almost surely, 2^10890400 is an apocalyptic number.

10890400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10890400 is an abundant number, since it is smaller than the sum of its proper divisors (15697742).

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

10890400 is a wasteful number, since it uses less digits than its factorization.

10890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13633 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10890400 is about 3300.0606055041. The cubic root of 10890400 is about 221.6569112735.

The spelling of 10890400 in words is "ten million, eight hundred ninety thousand, four hundred".