51960960 has 256 divisors, whose sum is σ = 191923200. Its totient is φ = 13271040.

The previous prime is 51960941. The next prime is 51960967. The reversal of 51960960 is 6906915.

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

It is not an unprimeable number, because it can be changed into a prime (51960967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535632 + ... + 535728.

It is an arithmetic number, because the mean of its divisors is an integer number (749700).

Almost surely, 2^51960960 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 51960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961600).

51960960 is an abundant number, since it is smaller than the sum of its proper divisors (139962240).

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

51960960 is a wasteful number, since it uses less digits than its factorization.

51960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 51960960 is about 7208.3951057083. The cubic root of 51960960 is about 373.1576838116.

The spelling of 51960960 in words is "fifty-one million, nine hundred sixty thousand, nine hundred sixty".