10890820 has 24 divisors (see below), whose sum is σ = 22998528. Its totient is φ = 4332000.

The previous prime is 10890791. The next prime is 10890821. The reversal of 10890820 is 2809801.

It is not an unprimeable number, because it can be changed into a prime (10890821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2395 + ... + 5245.

It is an arithmetic number, because the mean of its divisors is an integer number (958272).

Almost surely, 2^10890820 is an apocalyptic number.

10890820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10890820 is an abundant number, since it is smaller than the sum of its proper divisors (12107708).

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

10890820 is a wasteful number, since it uses less digits than its factorization.

10890820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 10890820 is about 3300.1242400855. The cubic root of 10890820 is about 221.6597607160.

The spelling of 10890820 in words is "ten million, eight hundred ninety thousand, eight hundred twenty".