252068064 has 96 divisors (see below), whose sum is σ = 682577280. Its totient is φ = 81403392.

The previous prime is 252068057. The next prime is 252068071. The reversal of 252068064 is 460860252.

252068064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252068057) and next prime (252068071).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936922 + ... + 937190.

It is an arithmetic number, because the mean of its divisors is an integer number (7110180).

Almost surely, 2^252068064 is an apocalyptic number.

252068064 is a gapful number since it is divisible by the number (24) 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 252068064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341288640).

252068064 is an abundant number, since it is smaller than the sum of its proper divisors (430509216).

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

252068064 is a wasteful number, since it uses less digits than its factorization.

252068064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 252068064 is about 15876.6515361395. The cubic root of 252068064 is about 631.6928219349.

The spelling of 252068064 in words is "two hundred fifty-two million, sixty-eight thousand, sixty-four".