164512764 has 72 divisors (see below), whose sum is σ = 450894080. Its totient is φ = 50274432.

The previous prime is 164512763. The next prime is 164512771. The reversal of 164512764 is 467215461.

164512764 is a `hidden beast` number, since 1 + 645 + 1 + 2 + 7 + 6 + 4 = 666.

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 (164512763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72357 + ... + 74595.

Almost surely, 2^164512764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164512764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225447040).

164512764 is an abundant number, since it is smaller than the sum of its proper divisors (286381316).

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

164512764 is a wasteful number, since it uses less digits than its factorization.

164512764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2414 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 164512764 is about 12826.2529212549. The cubic root of 164512764 is about 547.9402451406.

The spelling of 164512764 in words is "one hundred sixty-four million, five hundred twelve thousand, seven hundred sixty-four".