864312984 has 128 divisors (see below), whose sum is σ = 2564352000. Its totient is φ = 269136000.

The previous prime is 864312959. The next prime is 864313027. The reversal of 864312984 is 489213468.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191959 + ... + 196409.

It is an arithmetic number, because the mean of its divisors is an integer number (20034000).

Almost surely, 2^864312984 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 864312984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282176000).

864312984 is an abundant number, since it is smaller than the sum of its proper divisors (1700039016).

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

864312984 is a wasteful number, since it uses less digits than its factorization.

864312984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526 (or 4516 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 864312984 is about 29399.2003972897. The cubic root of 864312984 is about 952.5556245028. Note that the first 3 decimals are identical.

The spelling of 864312984 in words is "eight hundred sixty-four million, three hundred twelve thousand, nine hundred eighty-four".