64904 has 32 divisors (see below), whose sum is σ = 148800. Its totient is φ = 25920.

The previous prime is 64901. The next prime is 64919. The reversal of 64904 is 40946.

64904 is nontrivially palindromic in base 11.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 64904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1034 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (4650).

2⁶⁴⁹⁰⁴ 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 64904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

64904 is an abundant number, since it is smaller than the sum of its proper divisors (83896).

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

64904 is a wasteful number, since it uses less digits than its factorization.

64904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 64904 is about 254.7626346229. The cubic root of 64904 is about 40.1874534908.

The spelling of 64904 in words is "sixty-four thousand, nine hundred four".