968880 has 80 divisors (see below), whose sum is σ = 3285504. Its totient is φ = 234240.

The previous prime is 968879. The next prime is 968897. The reversal of 968880 is 88869.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×968880⁴ (a number of 25 digits) contains 4444 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2457 + ... + 2823.

2⁹⁶⁸⁸⁸⁰ 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 968880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642752).

968880 is an abundant number, since it is smaller than the sum of its proper divisors (2316624).

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

968880 is a wasteful number, since it uses less digits than its factorization.

968880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

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

The square root of 968880 is about 984.3170221021. The cubic root of 968880 is about 98.9517160734.

The spelling of 968880 in words is "nine hundred sixty-eight thousand, eight hundred eighty".