10890540 has 72 divisors (see below), whose sum is σ = 34987680. Its totient is φ = 2732544.

The previous prime is 10890533. The next prime is 10890547. The reversal of 10890540 is 4509801.

It is an interprime number because it is at equal distance from previous prime (10890533) and next prime (10890547).

It is a super-2 number, since 2×10890540² = 237207722983200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10890547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1281 + ... + 4839.

It is an arithmetic number, because the mean of its divisors is an integer number (485940).

Almost surely, 2^10890540 is an apocalyptic number.

10890540 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 10890540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493840).

10890540 is an abundant number, since it is smaller than the sum of its proper divisors (24097140).

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

10890540 is a wasteful number, since it uses less digits than its factorization.

10890540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10890540 is about 3300.0818171676. The cubic root of 10890540 is about 221.6578610958.

The spelling of 10890540 in words is "ten million, eight hundred ninety thousand, five hundred forty".