51684000 has 192 divisors, whose sum is σ = 174545280. Its totient is φ = 13363200.

The previous prime is 51683993. The next prime is 51684043. The reversal of 51684000 is 48615.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707964 + ... + 708036.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 2^51684000 is an apocalyptic number.

51684000 is a gapful number since it is divisible by the number (50) 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 51684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87272640).

51684000 is an abundant number, since it is smaller than the sum of its proper divisors (122861280).

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

51684000 is a wasteful number, since it uses less digits than its factorization.

51684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 51684000 is about 7189.1585043035. The cubic root of 51684000 is about 372.4935061853.

The spelling of 51684000 in words is "fifty-one million, six hundred eighty-four thousand".