51384960 has 192 divisors, whose sum is σ = 193808160. Its totient is φ = 12441600.

The previous prime is 51384947. The next prime is 51384961. The reversal of 51384960 is 6948315.

51384960 is a `hidden beast` number, since 513 + 84 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×51384960² = 5280828228403200, which contains 22 as substring.

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 (51384961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62955 + ... + 63765.

Almost surely, 2^51384960 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 51384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96904080).

51384960 is an abundant number, since it is smaller than the sum of its proper divisors (142423200).

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

51384960 is a wasteful number, since it uses less digits than its factorization.

51384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 51384960 is about 7168.3303495305. The cubic root of 51384960 is about 371.7737090606.

The spelling of 51384960 in words is "fifty-one million, three hundred eighty-four thousand, nine hundred sixty".