51087600 has 180 divisors, whose sum is σ = 185296176. Its totient is φ = 13009920.

The previous prime is 51087593. The next prime is 51087607. The reversal of 51087600 is 678015.

51087600 is a `hidden beast` number, since 51 + 0 + 8 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (51087593) and next prime (51087607).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51087607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82492 + ... + 83108.

Almost surely, 2^51087600 is an apocalyptic number.

51087600 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 51087600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92648088).

51087600 is an abundant number, since it is smaller than the sum of its proper divisors (134208576).

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

51087600 is a wasteful number, since it uses less digits than its factorization.

51087600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51087600 is about 7147.5590238906. The cubic root of 51087600 is about 371.0551812584.

The spelling of 51087600 in words is "fifty-one million, eighty-seven thousand, six hundred".