10590 has 16 divisors (see below), whose sum is σ = 25488. Its totient is φ = 2816.

The previous prime is 10589. The next prime is 10597. The reversal of 10590 is 9501.

10590 = 44² + 45² + ... + 48².

10590 is an esthetic number in base 6 and base 15, because in such bases its adjacent digits differ by 1.

It is a super-2 number, since 2×10590² = 224296200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147 + ... + 206.

It is an arithmetic number, because the mean of its divisors is an integer number (1593).

2¹⁰⁵⁹⁰ is an apocalyptic number.

10590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10590 is an abundant number, since it is smaller than the sum of its proper divisors (14898).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744).

10590 is a wasteful number, since it uses less digits than its factorization.

10590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 10590 is about 102.9077256575. The cubic root of 10590 is about 21.9599823491.

Subtracting from 10590 its reverse (9501), we obtain a square (1089 = 33²).

The spelling of 10590 in words is "ten thousand, five hundred ninety".