164756816 has 60 divisors (see below), whose sum is σ = 383368320. Its totient is φ = 68322240.

The previous prime is 164756803. The next prime is 164756831. The reversal of 164756816 is 618657461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20915 + ... + 27693.

It is an arithmetic number, because the mean of its divisors is an integer number (6389472).

Almost surely, 2^164756816 is an apocalyptic number.

164756816 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 164756816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191684160).

164756816 is an abundant number, since it is smaller than the sum of its proper divisors (218611504).

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

164756816 is a wasteful number, since it uses less digits than its factorization.

164756816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 6819 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 164756816 is about 12835.7631639104. The cubic root of 164756816 is about 548.2110647357.

The spelling of 164756816 in words is "one hundred sixty-four million, seven hundred fifty-six thousand, eight hundred sixteen".