968864 has 48 divisors (see below), whose sum is σ = 2190888. Its totient is φ = 417792.

The previous prime is 968857. The next prime is 968879. The reversal of 968864 is 468869.

968864 = T₁₁₇ + T₁₁₈ + ... + T₁₉₄.

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 144400 = 908^2 + 380^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7004 + ... + 7140.

2⁹⁶⁸⁸⁶⁴ 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 968864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095444).

968864 is an abundant number, since it is smaller than the sum of its proper divisors (1222024).

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

968864 is a wasteful number, since it uses less digits than its factorization.

968864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 968864 is about 984.3088946058. The cubic root of 968864 is about 98.9511713770.

The spelling of 968864 in words is "nine hundred sixty-eight thousand, eight hundred sixty-four".