968531760 has 240 divisors, whose sum is σ = 3837849600. Its totient is φ = 214202880.

The previous prime is 968531749. The next prime is 968531761. The reversal of 968531760 is 67135869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (968531761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153141 + ... + 159339.

It is an arithmetic number, because the mean of its divisors is an integer number (15991040).

Almost surely, 2^968531760 is an apocalyptic number.

968531760 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 968531760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918924800).

968531760 is an abundant number, since it is smaller than the sum of its proper divisors (2869317840).

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

968531760 is a wasteful number, since it uses less digits than its factorization.

968531760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 968531760 is about 31121.2429057710. The cubic root of 968531760 is about 989.3985940213.

The spelling of 968531760 in words is "nine hundred sixty-eight million, five hundred thirty-one thousand, seven hundred sixty".