10591120 has 40 divisors (see below), whose sum is σ = 25232760. Its totient is φ = 4131840.

The previous prime is 10591111. The next prime is 10591123. The reversal of 10591120 is 2119501.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 10549504 = 204^2 + 3248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10591120² = 224343645708800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10591123) 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, 1666 + ... + 4894.

It is an arithmetic number, because the mean of its divisors is an integer number (630819).

Almost surely, 2^10591120 is an apocalyptic number.

10591120 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 10591120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12616380).

10591120 is an abundant number, since it is smaller than the sum of its proper divisors (14641640).

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

10591120 is a wasteful number, since it uses less digits than its factorization.

10591120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 10591120 is about 3254.4000983284. The cubic root of 10591120 is about 219.6075648548.

The spelling of 10591120 in words is "ten million, five hundred ninety-one thousand, one hundred twenty".