51865920 has 336 divisors, whose sum is σ = 199704960. Its totient is φ = 12773376.

The previous prime is 51865909. The next prime is 51865927. The reversal of 51865920 is 2956815.

It is a happy number.

It is a super-3 number, since 3×51865920³ (a number of 24 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (51865927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1788466 + ... + 1788494.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^51865920 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 51865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

51865920 is an abundant number, since it is smaller than the sum of its proper divisors (147839040).

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

51865920 is a wasteful number, since it uses less digits than its factorization.

51865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 62 counting only the distinct ones).

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

The square root of 51865920 is about 7201.7997750562. The cubic root of 51865920 is about 372.9300350100.

The spelling of 51865920 in words is "fifty-one million, eight hundred sixty-five thousand, nine hundred twenty".