968721768 has 120 divisors (see below), whose sum is σ = 3156412050. Its totient is φ = 276768576.

The previous prime is 968721763. The next prime is 968721769. The reversal of 968721768 is 867127869.

It can be written as a sum of positive squares in only one way, i.e., 968578884 + 142884 = 31122^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (968721763) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16498 + ... + 47006.

Almost surely, 2^968721768 is an apocalyptic number.

968721768 is a gapful number since it is divisible by the number (98) 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 968721768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578206025).

968721768 is an abundant number, since it is smaller than the sum of its proper divisors (2187690282).

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

968721768 is a wasteful number, since it uses less digits than its factorization.

968721768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30541 (or 30521 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 968721768 is about 31124.2954619056. The cubic root of 968721768 is about 989.4632903529.

The spelling of 968721768 in words is "nine hundred sixty-eight million, seven hundred twenty-one thousand, seven hundred sixty-eight".