53007680 has 126 divisors (see below), whose sum is σ = 142593822. Its totient is φ = 18754560.

The previous prime is 53007659. The next prime is 53007707. The reversal of 53007680 is 8670035.

It can be written as a sum of positive squares in 3 ways, for example, as 26050816 + 26956864 = 5104^2 + 5192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1432622 + ... + 1432658.

It is an arithmetic number, because the mean of its divisors is an integer number (1131697).

Almost surely, 2^53007680 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 53007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71296911).

53007680 is an abundant number, since it is smaller than the sum of its proper divisors (89586142).

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

53007680 is a wasteful number, since it uses less digits than its factorization.

53007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 53007680 is about 7280.6373347393. The cubic root of 53007680 is about 375.6467181147.

The spelling of 53007680 in words is "fifty-three million, seven thousand, six hundred eighty".