252062064 has 160 divisors (see below), whose sum is σ = 751291200. Its totient is φ = 80870400.

The previous prime is 252062039. The next prime is 252062123. The reversal of 252062064 is 460260252.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2312442 + ... + 2312550.

It is an arithmetic number, because the mean of its divisors is an integer number (4695570).

Almost surely, 2^252062064 is an apocalyptic number.

252062064 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 252062064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375645600).

252062064 is an abundant number, since it is smaller than the sum of its proper divisors (499229136).

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

252062064 is a wasteful number, since it uses less digits than its factorization.

252062064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 252062064 is about 15876.4625782950. The cubic root of 252062064 is about 631.6878098137.

The spelling of 252062064 in words is "two hundred fifty-two million, sixty-two thousand, sixty-four".