51706800 has 180 divisors, whose sum is σ = 183497184. Its totient is φ = 13478400.

The previous prime is 51706777. The next prime is 51706801. The reversal of 51706800 is 860715.

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

It is not an unprimeable number, because it can be changed into a prime (51706801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190665 + ... + 190935.

Almost surely, 2^51706800 is an apocalyptic number.

51706800 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 51706800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91748592).

51706800 is an abundant number, since it is smaller than the sum of its proper divisors (131790384).

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

51706800 is a wasteful number, since it uses less digits than its factorization.

51706800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

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

The square root of 51706800 is about 7190.7440505138. The cubic root of 51706800 is about 372.5482723502.

The spelling of 51706800 in words is "fifty-one million, seven hundred six thousand, eight hundred".