10957120 has 56 divisors (see below), whose sum is σ = 26435304. Its totient is φ = 4325376.

The previous prime is 10957117. The next prime is 10957169. The reversal of 10957120 is 2175901.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 10291264 = 816^2 + 3208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30864 + ... + 31216.

It is an arithmetic number, because the mean of its divisors is an integer number (472059).

Almost surely, 2^10957120 is an apocalyptic number.

10957120 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 10957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217652).

10957120 is an abundant number, since it is smaller than the sum of its proper divisors (15478184).

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

10957120 is an equidigital number, since it uses as much as digits as its factorization.

10957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 10957120 is about 3310.1540749639. The cubic root of 10957120 is about 222.1086501142.

The spelling of 10957120 in words is "ten million, nine hundred fifty-seven thousand, one hundred twenty".