252680064 has 192 divisors, whose sum is σ = 841634640. Its totient is φ = 66576384.

The previous prime is 252680063. The next prime is 252680081. The reversal of 252680064 is 460086252.

252680064 is digitally balanced in base 2, 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 (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252680063) 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, 244092 + ... + 245124.

Almost surely, 2^252680064 is an apocalyptic number.

252680064 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 252680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420817320).

252680064 is an abundant number, since it is smaller than the sum of its proper divisors (588954576).

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

252680064 is a wasteful number, since it uses less digits than its factorization.

252680064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1058 counting only the distinct ones).

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

The square root of 252680064 is about 15895.9134371070. The cubic root of 252680064 is about 632.2036410473.

The spelling of 252680064 in words is "two hundred fifty-two million, six hundred eighty thousand, sixty-four".