863952 has 40 divisors (see below), whose sum is σ = 2291520. Its totient is φ = 280320.

The previous prime is 863921. The next prime is 863959. The reversal of 863952 is 259368.

It is a happy number.

863952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863959) by changing a digit.

863952 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 7 ways as a sum of consecutive naturals, for example, 1749 + ... + 2187.

It is an arithmetic number, because the mean of its divisors is an integer number (57288).

2⁸⁶³⁹⁵² is an apocalyptic number.

863952 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145760).

863952 is an abundant number, since it is smaller than the sum of its proper divisors (1427568).

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

863952 is a wasteful number, since it uses less digits than its factorization.

863952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 863952 is about 929.4901828422. The cubic root of 863952 is about 95.2422993065.

The spelling of 863952 in words is "eight hundred sixty-three thousand, nine hundred fifty-two".