164352664 has 48 divisors (see below), whose sum is σ = 374079600. Its totient is φ = 67370688.

The previous prime is 164352637. The next prime is 164352697. The reversal of 164352664 is 466253461.

164352664 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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, 99 + ... + 18130.

It is an arithmetic number, because the mean of its divisors is an integer number (7793325).

Almost surely, 2^164352664 is an apocalyptic number.

164352664 is a gapful number since it is divisible by the number (14) 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 164352664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187039800).

164352664 is an abundant number, since it is smaller than the sum of its proper divisors (209726936).

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

164352664 is a wasteful number, since it uses less digits than its factorization.

164352664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18272 (or 18261 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 164352664 is about 12820.0102964077. The cubic root of 164352664 is about 547.7624398771.

The spelling of 164352664 in words is "one hundred sixty-four million, three hundred fifty-two thousand, six hundred sixty-four".