864011904 has 192 divisors, whose sum is σ = 2729324160. Its totient is φ = 241360896.

The previous prime is 864011903. The next prime is 864011921. The reversal of 864011904 is 409110468.

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 (864011903) 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, 883864 + ... + 884840.

It is an arithmetic number, because the mean of its divisors is an integer number (14215230).

Almost surely, 2^864011904 is an apocalyptic number.

864011904 is a gapful number since it is divisible by the number (84) 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 864011904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364662080).

864011904 is an abundant number, since it is smaller than the sum of its proper divisors (1865312256).

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

864011904 is a wasteful number, since it uses less digits than its factorization.

864011904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 864011904 is about 29394.0794038527. The cubic root of 864011904 is about 952.4450053326.

The spelling of 864011904 in words is "eight hundred sixty-four million, eleven thousand, nine hundred four".