10168960 has 32 divisors (see below), whose sum is σ = 24311700. Its totient is φ = 4067328.

The previous prime is 10168957. The next prime is 10168979. The reversal of 10168960 is 6986101.

10168960 = T₁₄₄ + T₁₄₅ + ... + T₃₉₉.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9684544 + 484416 = 3112^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7305 + ... + 8584.

Almost surely, 2^10168960 is an apocalyptic number.

10168960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10168960 is an abundant number, since it is smaller than the sum of its proper divisors (14142740).

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

10168960 is an equidigital number, since it uses as much as digits as its factorization.

10168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15908 (or 15896 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 10168960 is about 3188.8806813677. The cubic root of 10168960 is about 216.6500763102.

The spelling of 10168960 in words is "ten million, one hundred sixty-eight thousand, nine hundred sixty".