968840 has 32 divisors (see below), whose sum is σ = 2225880. Its totient is φ = 379392.

The previous prime is 968831. The next prime is 968857. The reversal of 968840 is 48869.

It can be written as a sum of positive squares in 4 ways, for example, as 948676 + 20164 = 974^2 + 142^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 968840.

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, 1892 + ... + 2348.

2⁹⁶⁸⁸⁴⁰ 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 968840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112940).

968840 is an abundant number, since it is smaller than the sum of its proper divisors (1257040).

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

968840 is a wasteful number, since it uses less digits than its factorization.

968840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 968840 is about 984.2967032354. The cubic root of 968840 is about 98.9503543213.

The spelling of 968840 in words is "nine hundred sixty-eight thousand, eight hundred forty".