51937668 has 72 divisors (see below), whose sum is σ = 135390528. Its totient is φ = 16780608.

The previous prime is 51937667. The next prime is 51937687. The reversal of 51937668 is 86673915.

It is a happy number.

51937668 is a `hidden beast` number, since 519 + 3 + 76 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (51937667) 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, 310921 + ... + 311087.

It is an arithmetic number, because the mean of its divisors is an integer number (1880424).

Almost surely, 2^51937668 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 51937668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67695264).

51937668 is an abundant number, since it is smaller than the sum of its proper divisors (83452860).

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

51937668 is a wasteful number, since it uses less digits than its factorization.

51937668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 388 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 51937668 is about 7206.7793084012. The cubic root of 51937668 is about 373.1019183049.

The spelling of 51937668 in words is "fifty-one million, nine hundred thirty-seven thousand, six hundred sixty-eight".