968640 has 56 divisors (see below), whose sum is σ = 3078480. Its totient is φ = 258048.

The previous prime is 968593. The next prime is 968641. The reversal of 968640 is 46869.

968640 = T₁₄₁ + T₁₄₂ + ... + T₂₀₄.

968640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968641) by changing a digit.

968640 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 7 ways as a sum of consecutive naturals, for example, 456 + ... + 1464.

2⁹⁶⁸⁶⁴⁰ 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 968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539240).

968640 is an abundant number, since it is smaller than the sum of its proper divisors (2109840).

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

968640 is a wasteful number, since it uses less digits than its factorization.

968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 968640 is about 984.1951026092. The cubic root of 968640 is about 98.9435449985.

The spelling of 968640 in words is "nine hundred sixty-eight thousand, six hundred forty".