10056960 has 180 divisors, whose sum is σ = 36356628. Its totient is φ = 2654208.

The previous prime is 10056953. The next prime is 10056967. The reversal of 10056960 is 6965001.

It is an interprime number because it is at equal distance from previous prime (10056953) and next prime (10056967).

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 5992704 = 2016^2 + 2448^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10056960² = 202284888883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103632 + ... + 103728.

Almost surely, 2^10056960 is an apocalyptic number.

10056960 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 10056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178314).

10056960 is an abundant number, since it is smaller than the sum of its proper divisors (26299668).

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

10056960 is an frugal number, since it uses more digits than its factorization.

10056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10056960 is about 3171.2710385585. The cubic root of 10056960 is about 215.8517501250.

The spelling of 10056960 in words is "ten million, fifty-six thousand, nine hundred sixty".