164359968 has 48 divisors (see below), whose sum is σ = 432353376. Its totient is φ = 54671360.

The previous prime is 164359967. The next prime is 164359973. The reversal of 164359968 is 869953461.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×164359968² = 54028398161922048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164359968.

It is not an unprimeable number, because it can be changed into a prime (164359967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52528 + ... + 55568.

It is an arithmetic number, because the mean of its divisors is an integer number (9007362).

Almost surely, 2^164359968 is an apocalyptic number.

It is an amenable number.

164359968 is an abundant number, since it is smaller than the sum of its proper divisors (267993408).

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

164359968 is a wasteful number, since it uses less digits than its factorization.

164359968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3609 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 164359968 is about 12820.2951604087. The cubic root of 164359968 is about 547.7705541307.

The spelling of 164359968 in words is "one hundred sixty-four million, three hundred fifty-nine thousand, nine hundred sixty-eight".