64331904 has 192 divisors, whose sum is σ = 214885440. Its totient is φ = 16902144.

The previous prime is 64331903. The next prime is 64331923. The reversal of 64331904 is 40913346.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64331903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244477 + ... + 244739.

It is an arithmetic number, because the mean of its divisors is an integer number (1119195).

Almost surely, 2^64331904 is an apocalyptic number.

64331904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107442720).

64331904 is an abundant number, since it is smaller than the sum of its proper divisors (150553536).

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

64331904 is a wasteful number, since it uses less digits than its factorization.

64331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 64331904 is about 8020.7171749165. The cubic root of 64331904 is about 400.6902747833.

The spelling of 64331904 in words is "sixty-four million, three hundred thirty-one thousand, nine hundred four".