880632 has 56 divisors (see below), whose sum is σ = 2492040. Its totient is φ = 291600.

The previous prime is 880603. The next prime is 880661. The reversal of 880632 is 236088.

It is an interprime number because it is at equal distance from previous prime (880603) and next prime (880661).

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 880596 and 880605.

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 880632.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5757 + ... + 5907.

2⁸⁸⁰⁶³² 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 880632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246020).

880632 is an abundant number, since it is smaller than the sum of its proper divisors (1611408).

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

880632 is a wasteful number, since it uses less digits than its factorization.

880632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 880632 is about 938.4199486371. The cubic root of 880632 is about 95.8513323891.

The spelling of 880632 in words is "eight hundred eighty thousand, six hundred thirty-two".