56700 has 90 divisors (see below), whose sum is σ = 210056. Its totient is φ = 12960.

The previous prime is 56687. The next prime is 56701. The reversal of 56700 is 765.

56700 = T₁₄ + T₁₅ + ... + T₆₉.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56701) by changing a digit.

56700 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 29 ways as a sum of consecutive naturals, for example, 8097 + ... + 8103.

2⁵⁶⁷⁰⁰ is an apocalyptic number.

56700 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 56700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105028).

56700 is an abundant number, since it is smaller than the sum of its proper divisors (153356).

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

56700 is a wasteful number, since it uses less digits than its factorization.

56700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 56700 is about 238.1176179958. The cubic root of 56700 is about 38.4173749496.

The spelling of 56700 in words is "fifty-six thousand, seven hundred".