51064960 has 64 divisors (see below), whose sum is σ = 123862680. Its totient is φ = 20127744.

The previous prime is 51064933. The next prime is 51064963. The reversal of 51064960 is 6946015.

It can be written as a sum of positive squares in 4 ways, for example, as 50580544 + 484416 = 7112^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (51064963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46174 + ... + 47266.

Almost surely, 2^51064960 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 51064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61931340).

51064960 is an abundant number, since it is smaller than the sum of its proper divisors (72797720).

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

51064960 is a wasteful number, since it uses less digits than its factorization.

51064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 51064960 is about 7145.9750909166. The cubic root of 51064960 is about 371.0003608417. Note that the first 3 decimals are identical.

The spelling of 51064960 in words is "fifty-one million, sixty-four thousand, nine hundred sixty".