61904 has 20 divisors (see below), whose sum is σ = 123876. Its totient is φ = 29952.

The previous prime is 61879. The next prime is 61909. The reversal of 61904 is 40916.

61904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40000 + 21904 = 200^2 + 148^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61909) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 812 + ... + 884.

2⁶¹⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

61904 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

61904 is a wasteful number, since it uses less digits than its factorization.

61904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 61904 is about 248.8051446413. The cubic root of 61904 is about 39.5584777167.

The spelling of 61904 in words is "sixty-one thousand, nine hundred four".