10657120 has 48 divisors (see below), whose sum is σ = 25779600. Its totient is φ = 4161024.

The previous prime is 10657067. The next prime is 10657121. The reversal of 10657120 is 2175601.

It is a super-2 number, since 2×10657120² = 227148413388800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10657091 and 10657100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10657121) 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, 6106 + ... + 7654.

It is an arithmetic number, because the mean of its divisors is an integer number (537075).

Almost surely, 2^10657120 is an apocalyptic number.

10657120 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 10657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889800).

10657120 is an abundant number, since it is smaller than the sum of its proper divisors (15122480).

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

10657120 is a wasteful number, since it uses less digits than its factorization.

10657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 10657120 is about 3264.5244676675. The cubic root of 10657120 is about 220.0627919937.

The spelling of 10657120 in words is "ten million, six hundred fifty-seven thousand, one hundred twenty".