51586920 has 192 divisors, whose sum is σ = 209139840. Its totient is φ = 10713600.

The previous prime is 51586901. The next prime is 51586933. The reversal of 51586920 is 2968515.

It is a happy number.

51586920 is a `hidden beast` number, since 51 + 586 + 9 + 20 = 666.

It is a super-2 number, since 2×51586920² = 5322420630172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26790 + ... + 28650.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^51586920 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 51586920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

51586920 is an abundant number, since it is smaller than the sum of its proper divisors (157552920).

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

51586920 is a wasteful number, since it uses less digits than its factorization.

51586920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 51586920 is about 7182.4034974373. The cubic root of 51586920 is about 372.2601371574.

The spelling of 51586920 in words is "fifty-one million, five hundred eighty-six thousand, nine hundred twenty".