52965360 has 320 divisors, whose sum is σ = 217128960. Its totient is φ = 11612160.

The previous prime is 52965349. The next prime is 52965373. The reversal of 52965360 is 6356925.

52965360 = 1271² + 1272² + ... + 1302².

52965360 is a `hidden beast` number, since 5 + 296 + 5 + 360 = 666.

52965360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468664 + ... + 468776.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 2^52965360 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 52965360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564480).

52965360 is an abundant number, since it is smaller than the sum of its proper divisors (164163600).

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

52965360 is a wasteful number, since it uses less digits than its factorization.

52965360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 52965360 is about 7277.7304154523. The cubic root of 52965360 is about 375.5467225312.

The spelling of 52965360 in words is "fifty-two million, nine hundred sixty-five thousand, three hundred sixty".