252157680 has 60 divisors (see below), whose sum is σ = 846831960. Its totient is φ = 67241856.

The previous prime is 252157673. The next prime is 252157691. The reversal of 252157680 is 86751252.

It is a happy number.

252157680 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 576 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174390 + ... + 175829.

It is an arithmetic number, because the mean of its divisors is an integer number (14113866).

Almost surely, 2^252157680 is an apocalyptic number.

252157680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252157680 is an abundant number, since it is smaller than the sum of its proper divisors (594674280).

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

252157680 is a wasteful number, since it uses less digits than its factorization.

252157680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350238 (or 350229 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 252157680 is about 15879.4735429107. The cubic root of 252157680 is about 631.7676735122.

The spelling of 252157680 in words is "two hundred fifty-two million, one hundred fifty-seven thousand, six hundred eighty".