252127680 has 224 divisors, whose sum is σ = 969117696. Its totient is φ = 54214656.

The previous prime is 252127649. The next prime is 252127699. The reversal of 252127680 is 86721252.

252127680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113137 + ... + 115343.

Almost surely, 2^252127680 is an apocalyptic number.

252127680 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 252127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484558848).

252127680 is an abundant number, since it is smaller than the sum of its proper divisors (716990016).

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

252127680 is a wasteful number, since it uses less digits than its factorization.

252127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 252127680 is about 15878.5288991140. The cubic root of 252127680 is about 631.7426180497.

The spelling of 252127680 in words is "two hundred fifty-two million, one hundred twenty-seven thousand, six hundred eighty".