63740 has 12 divisors (see below), whose sum is σ = 133896. Its totient is φ = 25488.

The previous prime is 63737. The next prime is 63743. The reversal of 63740 is 4736.

It is an interprime number because it is at equal distance from previous prime (63737) and next prime (63743).

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 3187 = 63740 / (6 + 3 + 7 + 4 + 0).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63743) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1574 + ... + 1613.

It is an arithmetic number, because the mean of its divisors is an integer number (11158).

2⁶³⁷⁴⁰ is an apocalyptic number.

It is an amenable number.

63740 is an abundant number, since it is smaller than the sum of its proper divisors (70156).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66948).

63740 is a wasteful number, since it uses less digits than its factorization.

63740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 63740 is about 252.4678197315. The cubic root of 63740 is about 39.9457598166.

Subtracting from 63740 its product of nonzero digits (504), we obtain a palindrome (63236).

The spelling of 63740 in words is "sixty-three thousand, seven hundred forty".