164342664 has 24 divisors (see below), whose sum is σ = 445094910. Its totient is φ = 54780864.

The previous prime is 164342657. The next prime is 164342713. The reversal of 164342664 is 466243461.

164342664 is a `hidden beast` number, since 1 + 643 + 4 + 2 + 6 + 6 + 4 = 666.

164342664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 104898564 + 59444100 = 10242^2 + 7710^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×164342664² = 54017022421233792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1141197 + ... + 1141340.

Almost surely, 2^164342664 is an apocalyptic number.

It is an amenable number.

164342664 is an abundant number, since it is smaller than the sum of its proper divisors (280752246).

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

164342664 is a wasteful number, since it uses less digits than its factorization.

164342664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282549 (or 2282542 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 164342664 is about 12819.6202751876. The cubic root of 164342664 is about 547.7513301586.

The spelling of 164342664 in words is "one hundred sixty-four million, three hundred forty-two thousand, six hundred sixty-four".