164957520 has 360 divisors, whose sum is σ = 651895776. Its totient is φ = 34384896.

The previous prime is 164957519. The next prime is 164957531. The reversal of 164957520 is 25759461.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1987399 + ... + 1987481.

Almost surely, 2^164957520 is an apocalyptic number.

164957520 is a gapful number since it is divisible by the number (10) 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 164957520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325947888).

164957520 is an abundant number, since it is smaller than the sum of its proper divisors (486938256).

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

164957520 is a wasteful number, since it uses less digits than its factorization.

164957520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 164957520 is about 12843.5789404667. The cubic root of 164957520 is about 548.4335815907.

The spelling of 164957520 in words is "one hundred sixty-four million, nine hundred fifty-seven thousand, five hundred twenty".