63904 has 12 divisors (see below), whose sum is σ = 125874. Its totient is φ = 31936.

The previous prime is 63901. The next prime is 63907. The reversal of 63904 is 40936.

63904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63901) and next prime (63907).

It can be written as a sum of positive squares in only one way, i.e., 63504 + 400 = 252^2 + 20^2 .

It is a pancake number, because a pancake can be divided into 63904 parts by 357 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (63901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 967 + ... + 1030.

63904 is a Friedman number, since it can be written as 40^3-96, using all its digits and the basic arithmetic operations.

2⁶³⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

63904 is a deficient number, since it is larger than the sum of its proper divisors (61970).

63904 is a wasteful number, since it uses less digits than its factorization.

63904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 63904 is about 252.7924049492. The cubic root of 63904 is about 39.9799899917.

The spelling of 63904 in words is "sixty-three thousand, nine hundred four".