52814880 has 72 divisors (see below), whose sum is σ = 180235692. Its totient is φ = 14083584.

The previous prime is 52814821. The next prime is 52814891. The reversal of 52814880 is 8841825.

It can be written as a sum of positive squares in 2 ways, for example, as 49617936 + 3196944 = 7044^2 + 1788^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16899 + ... + 19778.

Almost surely, 2^52814880 is an apocalyptic number.

It is an amenable number.

52814880 is an abundant number, since it is smaller than the sum of its proper divisors (127420812).

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

52814880 is a wasteful number, since it uses less digits than its factorization.

52814880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36698 (or 36687 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 52814880 is about 7267.3846740076. The cubic root of 52814880 is about 375.1907296428.

The spelling of 52814880 in words is "fifty-two million, eight hundred fourteen thousand, eight hundred eighty".