863872 has 32 divisors (see below), whose sum is σ = 1826820. Its totient is φ = 405504.

The previous prime is 863869. The next prime is 863879. The reversal of 863872 is 278368.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 817216 + 46656 = 904^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 8⁶ + 6⁷ + 8⁶ + 3¹⁰ + 7³ + 2⁸ .

It is not an unprimeable number, because it can be changed into a prime (863879) 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, 1978 + ... + 2374.

2⁸⁶³⁸⁷² 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 863872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913410).

863872 is an abundant number, since it is smaller than the sum of its proper divisors (962948).

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

863872 is a wasteful number, since it uses less digits than its factorization.

863872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 863872 is about 929.4471475022. The cubic root of 863872 is about 95.2393594753.

The spelling of 863872 in words is "eight hundred sixty-three thousand, eight hundred seventy-two".