164662624 has 48 divisors (see below), whose sum is σ = 371685888. Its totient is φ = 70342272.

The previous prime is 164662613. The next prime is 164662627. The reversal of 164662624 is 426266461.

It is a super-2 number, since 2×164662624² = 54227559485130752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164662627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81207 + ... + 83209.

It is an arithmetic number, because the mean of its divisors is an integer number (7743456).

Almost surely, 2^164662624 is an apocalyptic number.

164662624 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 164662624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185842944).

164662624 is an abundant number, since it is smaller than the sum of its proper divisors (207023264).

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

164662624 is a wasteful number, since it uses less digits than its factorization.

164662624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2379 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 164662624 is about 12832.0935158687. The cubic root of 164662624 is about 548.1065734793.

The spelling of 164662624 in words is "one hundred sixty-four million, six hundred sixty-two thousand, six hundred twenty-four".