52692640 has 288 divisors, whose sum is σ = 173746944. Its totient is φ = 14837760.

The previous prime is 52692617. The next prime is 52692659. The reversal of 52692640 is 4629625.

It is a junction number, because it is equal to n+sod(n) for n = 52692596 and 52692605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121097 + ... + 1121143.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 2^52692640 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 52692640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

52692640 is an abundant number, since it is smaller than the sum of its proper divisors (121054304).

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

52692640 is a wasteful number, since it uses less digits than its factorization.

52692640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 52692640 is about 7258.9696238516. The cubic root of 52692640 is about 374.9010464834.

The spelling of 52692640 in words is "fifty-two million, six hundred ninety-two thousand, six hundred forty".