864432 has 100 divisors (see below), whose sum is σ = 2700720. Its totient is φ = 266112.

The previous prime is 864427. The next prime is 864439. The reversal of 864432 is 234468.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (4608) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 864396 and 864405.

It is not an unprimeable number, because it can be changed into a prime (864439) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29794 + ... + 29822.

2⁸⁶⁴⁴³² 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 864432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350360).

864432 is an abundant number, since it is smaller than the sum of its proper divisors (1836288).

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

864432 is a wasteful number, since it uses less digits than its factorization.

864432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 864432 is about 929.7483530504. The cubic root of 864432 is about 95.2599344837.

It can be divided in two parts, 864 and 432, that multiplied together give a cube (373248 = 72³).

The spelling of 864432 in words is "eight hundred sixty-four thousand, four hundred thirty-two".