164242624 has 56 divisors (see below), whose sum is σ = 401145248. Its totient is φ = 64972800.

The previous prime is 164242583. The next prime is 164242651. The reversal of 164242624 is 426242461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8277 + ... + 19924.

It is an arithmetic number, because the mean of its divisors is an integer number (7163308).

Almost surely, 2^164242624 is an apocalyptic number.

164242624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164242624 is an abundant number, since it is smaller than the sum of its proper divisors (236902624).

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

164242624 is a wasteful number, since it uses less digits than its factorization.

164242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28233 (or 28223 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

The square root of 164242624 is about 12815.7178495783. The cubic root of 164242624 is about 547.6401637207.

The spelling of 164242624 in words is "one hundred sixty-four million, two hundred forty-two thousand, six hundred twenty-four".