864576336 has 80 divisors (see below), whose sum is σ = 2470369664. Its totient is φ = 258826752.

The previous prime is 864576331. The next prime is 864576341. The reversal of 864576336 is 633675468.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (864576331) and next prime (864576341).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864576331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4365 + ... + 41811.

Almost surely, 2^864576336 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 864576336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235184832).

864576336 is an abundant number, since it is smaller than the sum of its proper divisors (1605793328).

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

864576336 is a wasteful number, since it uses less digits than its factorization.

864576336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37508 (or 37502 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 864576336 is about 29403.6789534915. The cubic root of 864576336 is about 952.6523610475.

The spelling of 864576336 in words is "eight hundred sixty-four million, five hundred seventy-six thousand, three hundred thirty-six".