10890464 has 48 divisors (see below), whose sum is σ = 23623488. Its totient is φ = 4910592.

The previous prime is 10890449. The next prime is 10890479. The reversal of 10890464 is 46409801.

It is an interprime number because it is at equal distance from previous prime (10890449) and next prime (10890479).

It is a super-2 number, since 2×10890464² = 237204412270592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10890464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19274 + ... + 19830.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 2^10890464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11811744).

10890464 is an abundant number, since it is smaller than the sum of its proper divisors (12733024).

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

10890464 is a wasteful number, since it uses less digits than its factorization.

10890464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 10890464 is about 3300.0703022815. The cubic root of 10890464 is about 221.6573454790.

The spelling of 10890464 in words is "ten million, eight hundred ninety thousand, four hundred sixty-four".