51583840 has 192 divisors, whose sum is σ = 156764160. Its totient is φ = 15575040.

The previous prime is 51583801. The next prime is 51583891. The reversal of 51583840 is 4838515.

It is a junction number, because it is equal to n+sod(n) for n = 51583796 and 51583805.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 652921 + ... + 652999.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^51583840 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 51583840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

51583840 is an abundant number, since it is smaller than the sum of its proper divisors (105180320).

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

51583840 is a wasteful number, since it uses less digits than its factorization.

51583840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 51583840 is about 7182.1890813317. The cubic root of 51583840 is about 372.2527284057.

It can be divided in two parts, 5158 and 3840, that added together give a palindrome (8998).

The spelling of 51583840 in words is "fifty-one million, five hundred eighty-three thousand, eight hundred forty".