252535680 has 192 divisors, whose sum is σ = 923691600. Its totient is φ = 63356928.

The previous prime is 252535667. The next prime is 252535727. The reversal of 252535680 is 86535252.

It is a happy number.

252535680 is a `hidden beast` number, since 2 + 525 + 3 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 96631 + ... + 99209.

Almost surely, 2^252535680 is an apocalyptic number.

252535680 is a gapful number since it is divisible by the number (20) 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 252535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461845800).

252535680 is an abundant number, since it is smaller than the sum of its proper divisors (671155920).

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

252535680 is a wasteful number, since it uses less digits than its factorization.

252535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 252535680 is about 15891.3712435397. The cubic root of 252535680 is about 632.0832022063.

The spelling of 252535680 in words is "two hundred fifty-two million, five hundred thirty-five thousand, six hundred eighty".