52646688 has 72 divisors (see below), whose sum is σ = 158535468. Its totient is φ = 16515072.

The previous prime is 52646683. The next prime is 52646689. The reversal of 52646688 is 88664625.

52646688 is a `hidden beast` number, since 526 + 46 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43718544 + 8928144 = 6612^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (52646683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481 + ... + 10272.

Almost surely, 2^52646688 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 52646688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79267734).

52646688 is an abundant number, since it is smaller than the sum of its proper divisors (105888780).

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

52646688 is a wasteful number, since it uses less digits than its factorization.

52646688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10786 (or 10775 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 52646688 is about 7255.8037459678. The cubic root of 52646688 is about 374.7920340217.

The spelling of 52646688 in words is "fifty-two million, six hundred forty-six thousand, six hundred eighty-eight".