10589920 has 72 divisors (see below), whose sum is σ = 27550152. Its totient is φ = 3843840.

The previous prime is 10589869. The next prime is 10589921. The reversal of 10589920 is 2998501.

It is a super-2 number, since 2×10589920² = 224292811212800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10589921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19087 + ... + 19633.

It is an arithmetic number, because the mean of its divisors is an integer number (382641).

Almost surely, 2^10589920 is an apocalyptic number.

10589920 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 10589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13775076).

10589920 is an abundant number, since it is smaller than the sum of its proper divisors (16960232).

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

10589920 is a wasteful number, since it uses less digits than its factorization.

10589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 10589920 is about 3254.2157273297. The cubic root of 10589920 is about 219.5992705154.

The spelling of 10589920 in words is "ten million, five hundred eighty-nine thousand, nine hundred twenty".