252958068 has 72 divisors (see below), whose sum is σ = 721637280. Its totient is φ = 74007360.

The previous prime is 252958063. The next prime is 252958091. The reversal of 252958068 is 860859252.

252958068 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 580 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252958061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471 + ... + 22497.

It is an arithmetic number, because the mean of its divisors is an integer number (10022740).

Almost surely, 2^252958068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252958068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360818640).

252958068 is an abundant number, since it is smaller than the sum of its proper divisors (468679212).

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

252958068 is a wasteful number, since it uses less digits than its factorization.

252958068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22077 (or 22072 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 252958068 is about 15904.6555448397. The cubic root of 252958068 is about 632.4354107156.

The spelling of 252958068 in words is "two hundred fifty-two million, nine hundred fifty-eight thousand, sixty-eight".