164557520 has 40 divisors (see below), whose sum is σ = 383312520. Its totient is φ = 65699840.

The previous prime is 164557511. The next prime is 164557531. The reversal of 164557520 is 25755461.

It can be written as a sum of positive squares in 4 ways, for example, as 50580544 + 113976976 = 7112^2 + 10676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 49676 + ... + 52884.

It is an arithmetic number, because the mean of its divisors is an integer number (9582813).

Almost surely, 2^164557520 is an apocalyptic number.

164557520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164557520 is an abundant number, since it is smaller than the sum of its proper divisors (218755000).

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

164557520 is a wasteful number, since it uses less digits than its factorization.

164557520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 164557520 is about 12827.9975054566. The cubic root of 164557520 is about 547.9899300190.

The spelling of 164557520 in words is "one hundred sixty-four million, five hundred fifty-seven thousand, five hundred twenty".