51897600 has 324 divisors, whose sum is σ = 200166876. Its totient is φ = 12779520.

The previous prime is 51897577. The next prime is 51897611. The reversal of 51897600 is 679815.

It can be written as a sum of positive squares in 6 ways, for example, as 746496 + 51151104 = 864^2 + 7152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 979174 + ... + 979226.

It is an arithmetic number, because the mean of its divisors is an integer number (617799).

Almost surely, 2^51897600 is an apocalyptic number.

51897600 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 51897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100083438).

51897600 is an abundant number, since it is smaller than the sum of its proper divisors (148269276).

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

51897600 is a wasteful number, since it uses less digits than its factorization.

51897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 51897600 is about 7203.9988895057. The cubic root of 51897600 is about 373.0059488206.

The spelling of 51897600 in words is "fifty-one million, eight hundred ninety-seven thousand, six hundred".