51947568 has 120 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 16718400.

The previous prime is 51947561. The next prime is 51947587. The reversal of 51947568 is 86574915.

51947568 is a `hidden beast` number, since 519 + 4 + 75 + 68 = 666.

It is a super-2 number, since 2×51947568² = 5397099642229248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51947561) 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, 120313 + ... + 120743.

Almost surely, 2^51947568 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 51947568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

51947568 is an abundant number, since it is smaller than the sum of its proper divisors (104042448).

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

51947568 is a wasteful number, since it uses less digits than its factorization.

51947568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 51947568 is about 7207.4661289527. The cubic root of 51947568 is about 373.1256228368.

The spelling of 51947568 in words is "fifty-one million, nine hundred forty-seven thousand, five hundred sixty-eight".