51876864 has 132 divisors (see below), whose sum is σ = 161688436. Its totient is φ = 15925248.

The previous prime is 51876841. The next prime is 51876887. The reversal of 51876864 is 46867815.

It is a happy number.

51876864 is a `hidden beast` number, since 518 + 76 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (51876841) and next prime (51876887).

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 45158400 = 2592^2 + 6720^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119592 + ... + 120024.

Almost surely, 2^51876864 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 51876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80844218).

51876864 is an abundant number, since it is smaller than the sum of its proper divisors (109811572).

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

51876864 is a wasteful number, since it uses less digits than its factorization.

51876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 451 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 51876864 is about 7202.5595450506. The cubic root of 51876864 is about 372.9562632750.

The spelling of 51876864 in words is "fifty-one million, eight hundred seventy-six thousand, eight hundred sixty-four".