51984360 has 96 divisors (see below), whose sum is σ = 170038440. Its totient is φ = 13773312.

The previous prime is 51984349. The next prime is 51984367. The reversal of 51984360 is 6348915.

51984360 is a `hidden beast` number, since 519 + 84 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50381604 + 1602756 = 7098^2 + 1266^2 .

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 (51984367) 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, 70554 + ... + 71286.

Almost surely, 2^51984360 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 51984360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85019220).

51984360 is an abundant number, since it is smaller than the sum of its proper divisors (118054080).

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

51984360 is a wasteful number, since it uses less digits than its factorization.

51984360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 940 counting only the distinct ones).

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

The square root of 51984360 is about 7210.0180304906. The cubic root of 51984360 is about 373.2136911124.

The spelling of 51984360 in words is "fifty-one million, nine hundred eighty-four thousand, three hundred sixty".