164910960 has 120 divisors (see below), whose sum is σ = 556817040. Its totient is φ = 43739136.

The previous prime is 164910947. The next prime is 164910971. The reversal of 164910960 is 69019461.

164910960 is a `hidden beast` number, since 1 + 649 + 1 + 0 + 9 + 6 + 0 = 666.

164910960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162936 + ... + 163944.

It is an arithmetic number, because the mean of its divisors is an integer number (4640142).

Almost surely, 2^164910960 is an apocalyptic number.

164910960 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 164910960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278408520).

164910960 is an abundant number, since it is smaller than the sum of its proper divisors (391906080).

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

164910960 is a wasteful number, since it uses less digits than its factorization.

164910960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 164910960 is about 12841.7662336612. The cubic root of 164910960 is about 548.3819774557.

The spelling of 164910960 in words is "one hundred sixty-four million, nine hundred ten thousand, nine hundred sixty".