863352 has 64 divisors (see below), whose sum is σ = 2745600. Its totient is φ = 246240.

The previous prime is 863323. The next prime is 863363. The reversal of 863352 is 253368.

863352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 863352.

It is an unprimeable number.

863352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227 + ... + 1797.

It is an arithmetic number, because the mean of its divisors is an integer number (42900).

2⁸⁶³³⁵² 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 863352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372800).

863352 is an abundant number, since it is smaller than the sum of its proper divisors (1882248).

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

863352 is a wasteful number, since it uses less digits than its factorization.

863352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 863352 is about 929.1673692075. The cubic root of 863352 is about 95.2202461471.

The spelling of 863352 in words is "eight hundred sixty-three thousand, three hundred fifty-two".