880968 has 64 divisors (see below), whose sum is σ = 2488320. Its totient is φ = 257600.

The previous prime is 880961. The next prime is 880981. The reversal of 880968 is 869088.

It is a super-2 number, since 2×880968² = 1552209234048, which contains 22 as substring.

880968 is a modest number, since divided by 968 gives 88 as remainder.

It is not an unprimeable number, because it can be changed into a prime (880961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12373 + ... + 12443.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2⁸⁸⁰⁹⁶⁸ is an apocalyptic number.

880968 is a gapful number since it is divisible by the number (88) 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 880968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244160).

880968 is an abundant number, since it is smaller than the sum of its proper divisors (1607352).

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

880968 is a wasteful number, since it uses less digits than its factorization.

880968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 880968 is about 938.5989558912. The cubic root of 880968 is about 95.8635213445.

The spelling of 880968 in words is "eight hundred eighty thousand, nine hundred sixty-eight".