880672 has 48 divisors (see below), whose sum is σ = 1958040. Its totient is φ = 387072.

The previous prime is 880667. The next prime is 880673. The reversal of 880672 is 276088.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 234256 = 804^2 + 484^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880673) by changing a digit.

880672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12028 + ... + 12100.

2⁸⁸⁰⁶⁷² 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 880672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979020).

880672 is an abundant number, since it is smaller than the sum of its proper divisors (1077368).

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

880672 is a wasteful number, since it uses less digits than its factorization.

880672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 880672 is about 938.4412608150. The cubic root of 880672 is about 95.8527836178.

The spelling of 880672 in words is "eight hundred eighty thousand, six hundred seventy-two".