968800 has 72 divisors (see below), whose sum is σ = 2718576. Its totient is φ = 330240.

The previous prime is 968761. The next prime is 968801. The reversal of 968800 is 8869.

968800 = T₃₆₅ + T₃₆₆ + ... + T₃₇₈.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968801) by changing a digit.

968800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5514 + ... + 5686.

It is an arithmetic number, because the mean of its divisors is an integer number (37758).

2⁹⁶⁸⁸⁰⁰ 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 968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359288).

968800 is an abundant number, since it is smaller than the sum of its proper divisors (1749776).

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

968800 is a wasteful number, since it uses less digits than its factorization.

968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 968800 is about 984.2763839491. The cubic root of 968800 is about 98.9489925317.

It can be divided in two parts, 968 and 800, that multiplied together give a square (774400 = 880²).

The spelling of 968800 in words is "nine hundred sixty-eight thousand, eight hundred".