880352 has 48 divisors (see below), whose sum is σ = 1968624. Its totient is φ = 384000.

The previous prime is 880349. The next prime is 880361. The reversal of 880352 is 253088.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14402 + ... + 14462.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2⁸⁸⁰³⁵² is an apocalyptic number.

880352 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 880352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312).

880352 is an abundant number, since it is smaller than the sum of its proper divisors (1088272).

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

880352 is a wasteful number, since it uses less digits than its factorization.

880352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 880352 is about 938.2707498372. The cubic root of 880352 is about 95.8411725576.

Subtracting from 880352 its reverse (253088), we obtain a square (627264 = 792²).

The spelling of 880352 in words is "eight hundred eighty thousand, three hundred fifty-two".