10588980 has 48 divisors (see below), whose sum is σ = 30610944. Its totient is φ = 2732160.

The previous prime is 10588979. The next prime is 10588987. The reversal of 10588980 is 8988501.

It is a super-2 number, since 2×10588980² = 224252994880800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10588987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987 + ... + 4706.

It is an arithmetic number, because the mean of its divisors is an integer number (637728).

Almost surely, 2^10588980 is an apocalyptic number.

10588980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10588980 is an abundant number, since it is smaller than the sum of its proper divisors (20021964).

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

10588980 is a wasteful number, since it uses less digits than its factorization.

10588980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 10588980 is about 3254.0712960843. The cubic root of 10588980 is about 219.5927728452.

The spelling of 10588980 in words is "ten million, five hundred eighty-eight thousand, nine hundred eighty".