164574564 has 96 divisors (see below), whose sum is σ = 481238016. Its totient is φ = 42526080.

The previous prime is 164574547. The next prime is 164574581. The reversal of 164574564 is 465475461.

It is an interprime number because it is at equal distance from previous prime (164574547) and next prime (164574581).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255627 + ... + 256269.

It is an arithmetic number, because the mean of its divisors is an integer number (5012896).

Almost surely, 2^164574564 is an apocalyptic number.

164574564 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 164574564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240619008).

164574564 is an abundant number, since it is smaller than the sum of its proper divisors (316663452).

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

164574564 is a wasteful number, since it uses less digits than its factorization.

164574564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 943 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 164574564 is about 12828.6618164172. The cubic root of 164574564 is about 548.0088486681.

The spelling of 164574564 in words is "one hundred sixty-four million, five hundred seventy-four thousand, five hundred sixty-four".