164252664 has 64 divisors (see below), whose sum is σ = 460836000. Its totient is φ = 54201600.

The previous prime is 164252659. The next prime is 164252677. The reversal of 164252664 is 466252461.

164252664 is a `hidden beast` number, since 1 + 642 + 5 + 2 + 6 + 6 + 4 = 666.

It is a super-3 number, since 3×164252664³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18052 + ... + 25580.

Almost surely, 2^164252664 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 164252664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230418000).

164252664 is an abundant number, since it is smaller than the sum of its proper divisors (296583336).

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

164252664 is a wasteful number, since it uses less digits than its factorization.

164252664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7645 (or 7635 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 164252664 is about 12816.1095500936. The cubic root of 164252664 is about 547.6513224059.

The spelling of 164252664 in words is "one hundred sixty-four million, two hundred fifty-two thousand, six hundred sixty-four".