968440 has 64 divisors (see below), whose sum is σ = 2488320. Its totient is φ = 336000.

The previous prime is 968437. The next prime is 968459. The reversal of 968440 is 44869.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 13605 + ... + 13675.

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

2⁹⁶⁸⁴⁴⁰ 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 968440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244160).

968440 is an abundant number, since it is smaller than the sum of its proper divisors (1519880).

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

968440 is a wasteful number, since it uses less digits than its factorization.

968440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 968440 is about 984.0934914936. The cubic root of 968440 is about 98.9367347384.

The spelling of 968440 in words is "nine hundred sixty-eight thousand, four hundred forty".