51084000 has 384 divisors, whose sum is σ = 207567360. Its totient is φ = 12096000.

The previous prime is 51083941. The next prime is 51084053. The reversal of 51084000 is 48015.

51084000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 1187979 + ... + 1188021.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 2^51084000 is an apocalyptic number.

51084000 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 51084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

51084000 is an abundant number, since it is smaller than the sum of its proper divisors (156483360).

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

51084000 is a wasteful number, since it uses less digits than its factorization.

51084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51084000 is about 7147.3071852272. The cubic root of 51084000 is about 371.0464653141.

The spelling of 51084000 in words is "fifty-one million, eighty-four thousand".