10890240 has 88 divisors (see below), whose sum is σ = 34880880. Its totient is φ = 2899968.

The previous prime is 10890239. The next prime is 10890241. The reversal of 10890240 is 4209801.

It is an interprime number because it is at equal distance from previous prime (10890239) and next prime (10890241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10890240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10890241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15006 + ... + 15714.

Almost surely, 2^10890240 is an apocalyptic number.

10890240 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 10890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440440).

10890240 is an abundant number, since it is smaller than the sum of its proper divisors (23990640).

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

10890240 is an equidigital number, since it uses as much as digits as its factorization.

10890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10890240 is about 3300.0363634360. The cubic root of 10890240 is about 221.6558257523.

The spelling of 10890240 in words is "ten million, eight hundred ninety thousand, two hundred forty".