10590972 has 48 divisors (see below), whose sum is σ = 28734720. Its totient is φ = 2973312.

The previous prime is 10590959. The next prime is 10591019. The reversal of 10590972 is 27909501.

It is a super-2 number, since 2×10590972² = 224337375809568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3888 + ... + 6024.

It is an arithmetic number, because the mean of its divisors is an integer number (598640).

Almost surely, 2^10590972 is an apocalyptic number.

10590972 is a gapful number since it is divisible by the number (12) 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 10590972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367360).

10590972 is an abundant number, since it is smaller than the sum of its proper divisors (18143748).

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

10590972 is a wasteful number, since it uses less digits than its factorization.

10590972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 10590972 is about 3254.3773598033. The cubic root of 10590972 is about 219.6065419201.

The spelling of 10590972 in words is "ten million, five hundred ninety thousand, nine hundred seventy-two".