10164960 has 192 divisors, whose sum is σ = 38525760. Its totient is φ = 2488320.

The previous prime is 10164941. The next prime is 10164977. The reversal of 10164960 is 6946101.

10164960 is a `hidden beast` number, since 10 + 1 + 649 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56070 + ... + 56250.

It is an arithmetic number, because the mean of its divisors is an integer number (200655).

Almost surely, 2^10164960 is an apocalyptic number.

10164960 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 10164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

10164960 is an abundant number, since it is smaller than the sum of its proper divisors (28360800).

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

10164960 is a wasteful number, since it uses less digits than its factorization.

10164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10164960 is about 3188.2534403651. The cubic root of 10164960 is about 216.6216658678.

The spelling of 10164960 in words is "ten million, one hundred sixty-four thousand, nine hundred sixty".