51984576 has 84 divisors (see below), whose sum is σ = 170303952. Its totient is φ = 14851584.

The previous prime is 51984533. The next prime is 51984641. The reversal of 51984576 is 67548915.

51984576 is a `hidden beast` number, since 5 + 198 + 457 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×51984576² = 5404792283799552, which contains 22 as substring.

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, 2415 + ... + 10478.

It is an arithmetic number, because the mean of its divisors is an integer number (2027428).

Almost surely, 2^51984576 is an apocalyptic number.

51984576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85151976).

51984576 is an abundant number, since it is smaller than the sum of its proper divisors (118319376).

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

51984576 is a wasteful number, since it uses less digits than its factorization.

51984576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12918 (or 12905 counting only the distinct ones).

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

The square root of 51984576 is about 7210.0330096332. The cubic root of 51984576 is about 373.2142080246.

It can be divided in two parts, 51984 and 576, that multiplied together give a square (29942784 = 5472²).

The spelling of 51984576 in words is "fifty-one million, nine hundred eighty-four thousand, five hundred seventy-six".