52952160 has 96 divisors (see below), whose sum is σ = 168521472. Its totient is φ = 13975040.

The previous prime is 52952149. The next prime is 52952167. The reversal of 52952160 is 6125925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52952167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50845 + ... + 51875.

It is an arithmetic number, because the mean of its divisors is an integer number (1755432).

Almost surely, 2^52952160 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 52952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84260736).

52952160 is an abundant number, since it is smaller than the sum of its proper divisors (115569312).

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

52952160 is a wasteful number, since it uses less digits than its factorization.

52952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 52952160 is about 7276.8234828117. The cubic root of 52952160 is about 375.5155220850.

The spelling of 52952160 in words is "fifty-two million, nine hundred fifty-two thousand, one hundred sixty".