968453640 has 768 divisors, whose sum is σ = 4313088000. Its totient is φ = 186278400.

The previous prime is 968453639. The next prime is 968453657. The reversal of 968453640 is 46354869.

968453640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31240425 + ... + 31240455.

It is an arithmetic number, because the mean of its divisors is an integer number (5616000).

Almost surely, 2^968453640 is an apocalyptic number.

968453640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968453640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156544000).

968453640 is an abundant number, since it is smaller than the sum of its proper divisors (3344634360).

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

968453640 is a wasteful number, since it uses less digits than its factorization.

968453640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 968453640 is about 31119.9877892007. The cubic root of 968453640 is about 989.3719922792.

The spelling of 968453640 in words is "nine hundred sixty-eight million, four hundred fifty-three thousand, six hundred forty".