876032 has 40 divisors (see below), whose sum is σ = 1841400. Its totient is φ = 415744.

The previous prime is 876023. The next prime is 876041. The reversal of 876032 is 230678.

It is an interprime number because it is at equal distance from previous prime (876023) and next prime (876041).

It is an Ulam number.

It is a d-powerful number, because it can be written as 8⁵ + 7⁷ + 0 + 6 + 3⁹ + 2⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 875992 and 876010.

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 876032.

It is an unprimeable number.

876032 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 3 ways as a sum of consecutive naturals, for example, 14819 + ... + 14877.

It is an arithmetic number, because the mean of its divisors is an integer number (46035).

2⁸⁷⁶⁰³² 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 876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920700).

876032 is an abundant number, since it is smaller than the sum of its proper divisors (965368).

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

876032 is an equidigital number, since it uses as much as digits as its factorization.

876032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 876032 is about 935.9658113414. The cubic root of 876032 is about 95.6841471266.

The spelling of 876032 in words is "eight hundred seventy-six thousand, thirty-two".