863232 has 44 divisors (see below), whose sum is σ = 2309016. Its totient is φ = 286720.

The previous prime is 863231. The next prime is 863251. The reversal of 863232 is 232368.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 8⁴ + 6 + 2¹⁶ + 3² + 3¹² + 2¹⁸ .

It is not an unprimeable number, because it can be changed into a prime (863231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2932 + ... + 3212.

2⁸⁶³²³² 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 863232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154508).

863232 is an abundant number, since it is smaller than the sum of its proper divisors (1445784).

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

863232 is a wasteful number, since it uses less digits than its factorization.

863232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 286 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 863232 is about 929.1027930213. The cubic root of 863232 is about 95.2158342892.

The spelling of 863232 in words is "eight hundred sixty-three thousand, two hundred thirty-two".