968410240 has 256 divisors, whose sum is σ = 2882764800. Its totient is φ = 303575040.

The previous prime is 968410229. The next prime is 968410243. The reversal of 968410240 is 42014869.

It is a junction number, because it is equal to n+sod(n) for n = 968410196 and 968410205.

It is not an unprimeable number, because it can be changed into a prime (968410243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2638537 + ... + 2638903.

It is an arithmetic number, because the mean of its divisors is an integer number (11260800).

Almost surely, 2^968410240 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 968410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441382400).

968410240 is an abundant number, since it is smaller than the sum of its proper divisors (1914354560).

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

968410240 is a wasteful number, since it uses less digits than its factorization.

968410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 968410240 is about 31119.2904803435. The cubic root of 968410240 is about 989.3572129154.

The spelling of 968410240 in words is "nine hundred sixty-eight million, four hundred ten thousand, two hundred forty".