52657360 has 160 divisors (see below), whose sum is σ = 151776000. Its totient is φ = 16934400.

The previous prime is 52657357. The next prime is 52657391. The reversal of 52657360 is 6375625.

52657360 = 697² + 698² + ... + 791².

52657360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521310 + ... + 521410.

It is an arithmetic number, because the mean of its divisors is an integer number (948600).

Almost surely, 2^52657360 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 52657360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888000).

52657360 is an abundant number, since it is smaller than the sum of its proper divisors (99118640).

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

52657360 is a wasteful number, since it uses less digits than its factorization.

52657360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 52657360 is about 7256.5391199938. The cubic root of 52657360 is about 374.8173569844.

The spelling of 52657360 in words is "fifty-two million, six hundred fifty-seven thousand, three hundred sixty".