51647200 has 72 divisors (see below), whose sum is σ = 137569320. Its totient is φ = 18777600.

The previous prime is 51647177. The next prime is 51647203. The reversal of 51647200 is 274615.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51647203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5866 + ... + 11734.

It is an arithmetic number, because the mean of its divisors is an integer number (1910685).

Almost surely, 2^51647200 is an apocalyptic number.

51647200 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 51647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68784660).

51647200 is an abundant number, since it is smaller than the sum of its proper divisors (85922120).

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

51647200 is a wasteful number, since it uses less digits than its factorization.

51647200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 51647200 is about 7186.5986391338. The cubic root of 51647200 is about 372.4050776858.

The spelling of 51647200 in words is "fifty-one million, six hundred forty-seven thousand, two hundred".