164730960 has 60 divisors (see below), whose sum is σ = 553223892. Its totient is φ = 43928064.

The previous prime is 164730947. The next prime is 164730967. The reversal of 164730960 is 69037461.

164730960 is a `hidden beast` number, since 1 + 647 + 3 + 0 + 9 + 6 + 0 = 666.

164730960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48608784 + 116122176 = 6972^2 + 10776^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164730967) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 113677 + ... + 115116.

Almost surely, 2^164730960 is an apocalyptic number.

164730960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164730960 is an abundant number, since it is smaller than the sum of its proper divisors (388492932).

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

164730960 is a wasteful number, since it uses less digits than its factorization.

164730960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228812 (or 228803 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 164730960 is about 12834.7559384665. The cubic root of 164730960 is about 548.1823855239.

The spelling of 164730960 in words is "one hundred sixty-four million, seven hundred thirty thousand, nine hundred sixty".