10890880 has 256 divisors, whose sum is σ = 37013760. Its totient is φ = 2949120.

The previous prime is 10890853. The next prime is 10890881. The reversal of 10890880 is 8809801.

It is a super-2 number, since 2×10890880² = 237222534348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (10890881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640632 + ... + 640648.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 2^10890880 is an apocalyptic number.

10890880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

10890880 is an abundant number, since it is smaller than the sum of its proper divisors (26122880).

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

10890880 is a wasteful number, since it uses less digits than its factorization.

10890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 10890880 is about 3300.1333306398. The cubic root of 10890880 is about 221.6601677732.

The spelling of 10890880 in words is "ten million, eight hundred ninety thousand, eight hundred eighty".