864132384 has 48 divisors (see below), whose sum is σ = 2286240768. Its totient is φ = 285772032.

The previous prime is 864132383. The next prime is 864132413. The reversal of 864132384 is 483231468.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (864132383) 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, 23247 + ... + 47630.

It is an arithmetic number, because the mean of its divisors is an integer number (47630016).

Almost surely, 2^864132384 is an apocalyptic number.

It is an amenable number.

864132384 is an abundant number, since it is smaller than the sum of its proper divisors (1422108384).

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

864132384 is a wasteful number, since it uses less digits than its factorization.

864132384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71017 (or 71009 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 864132384 is about 29396.1287247148. The cubic root of 864132384 is about 952.4892737200.

The spelling of 864132384 in words is "eight hundred sixty-four million, one hundred thirty-two thousand, three hundred eighty-four".