63700 has 54 divisors (see below), whose sum is σ = 173166. Its totient is φ = 20160.

The previous prime is 63697. The next prime is 63703. The reversal of 63700 is 736.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (63697) and next prime (63703).

It can be written as a sum of positive squares in 3 ways, for example, as 196 + 63504 = 14^2 + 252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63703) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4894 + ... + 4906.

2⁶³⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86583).

63700 is an abundant number, since it is smaller than the sum of its proper divisors (109466).

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

63700 is a wasteful number, since it uses less digits than its factorization.

63700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 63700 is about 252.3885892825. The cubic root of 63700 is about 39.9374020886.

It can be divided in two parts, 63 and 700, that multiplied together give a square (44100 = 210²).

The spelling of 63700 in words is "sixty-three thousand, seven hundred".