51567984 has 120 divisors (see below), whose sum is σ = 157298960. Its totient is φ = 15769728.

The previous prime is 51567979. The next prime is 51568007. The reversal of 51567984 is 48976515.

51567984 is a `hidden beast` number, since 5 + 1 + 567 + 9 + 84 = 666.

51567984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (302400) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316287 + ... + 316449.

Almost surely, 2^51567984 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 51567984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78649480).

51567984 is an abundant number, since it is smaller than the sum of its proper divisors (105730976).

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

51567984 is a wasteful number, since it uses less digits than its factorization.

51567984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 181 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 51567984 is about 7181.0851547660. The cubic root of 51567984 is about 372.2145830994.

The spelling of 51567984 in words is "fifty-one million, five hundred sixty-seven thousand, nine hundred eighty-four".