53792960 has 112 divisors (see below), whose sum is σ = 140732256. Its totient is φ = 19464192.

The previous prime is 53792939. The next prime is 53792969. The reversal of 53792960 is 6929735.

It is not an unprimeable number, because it can be changed into a prime (53792969) 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, 278624 + ... + 278816.

It is an arithmetic number, because the mean of its divisors is an integer number (1256538).

Almost surely, 2^53792960 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 53792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70366128).

53792960 is an abundant number, since it is smaller than the sum of its proper divisors (86939296).

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

53792960 is a wasteful number, since it uses less digits than its factorization.

53792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 53792960 is about 7334.3684117993. The cubic root of 53792960 is about 377.4926332203.

The spelling of 53792960 in words is "fifty-three million, seven hundred ninety-two thousand, nine hundred sixty".