164534976 has 140 divisors (see below), whose sum is σ = 516700008. Its totient is φ = 51591168.

The previous prime is 164534969. The next prime is 164534987. The reversal of 164534976 is 679435461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87195 + ... + 89061.

Almost surely, 2^164534976 is an apocalyptic number.

164534976 is a gapful number since it is divisible by the number (16) 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 164534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258350004).

164534976 is an abundant number, since it is smaller than the sum of its proper divisors (352165032).

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

164534976 is a wasteful number, since it uses less digits than its factorization.

164534976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1889 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 164534976 is about 12827.1187723510. The cubic root of 164534976 is about 547.9649044248.

The spelling of 164534976 in words is "one hundred sixty-four million, five hundred thirty-four thousand, nine hundred seventy-six".