52856064 has 90 divisors (see below), whose sum is σ = 157669050. Its totient is φ = 17611776.

The previous prime is 52856057. The next prime is 52856071. The reversal of 52856064 is 46065825.

It is an interprime number because it is at equal distance from previous prime (52856057) and next prime (52856071).

It can be written as a sum of positive squares in only one way, i.e., 51840000 + 1016064 = 7200^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19462 + ... + 22010.

Almost surely, 2^52856064 is an apocalyptic number.

52856064 is a gapful number since it is divisible by the number (54) 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 52856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78834525).

52856064 is an abundant number, since it is smaller than the sum of its proper divisors (104812986).

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

52856064 is an equidigital number, since it uses as much as digits as its factorization.

52856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 52856064 is about 7270.2176033459. The cubic root of 52856064 is about 375.2882264113.

The spelling of 52856064 in words is "fifty-two million, eight hundred fifty-six thousand, sixty-four".