51084600 has 96 divisors (see below), whose sum is σ = 181000320. Its totient is φ = 11675520.

The previous prime is 51084599. The next prime is 51084611. The reversal of 51084600 is 648015.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1882 + ... + 10281.

It is an arithmetic number, because the mean of its divisors is an integer number (1885420).

Almost surely, 2^51084600 is an apocalyptic number.

51084600 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 51084600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90500160).

51084600 is an abundant number, since it is smaller than the sum of its proper divisors (129915720).

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

51084600 is a wasteful number, since it uses less digits than its factorization.

51084600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12189 (or 12180 counting only the distinct ones).

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

The square root of 51084600 is about 7147.3491589540. The cubic root of 51084600 is about 371.0479179999.

The spelling of 51084600 in words is "fifty-one million, eighty-four thousand, six hundred".