51284960 has 48 divisors (see below), whose sum is σ = 124449696. Its totient is φ = 19957248.

The previous prime is 51284929. The next prime is 51284969. The reversal of 51284960 is 6948215.

It is a self number, because there is not a number n which added to its sum of digits gives 51284960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51284969) 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, 1589 + ... + 10251.

It is an arithmetic number, because the mean of its divisors is an integer number (2592702).

Almost surely, 2^51284960 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 51284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62224848).

51284960 is an abundant number, since it is smaller than the sum of its proper divisors (73164736).

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

51284960 is a wasteful number, since it uses less digits than its factorization.

51284960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8715 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 51284960 is about 7161.3518276929. The cubic root of 51284960 is about 371.5323834930.

The spelling of 51284960 in words is "fifty-one million, two hundred eighty-four thousand, nine hundred sixty".