968268060 has 96 divisors (see below), whose sum is σ = 3024544320. Its totient is φ = 257163264.

The previous prime is 968268019. The next prime is 968268061. The reversal of 968268060 is 60862869.

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

It is a junction number, because it is equal to n+sod(n) for n = 968267997 and 968268015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968268061) 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, 135292 + ... + 142268.

It is an arithmetic number, because the mean of its divisors is an integer number (31505670).

Almost surely, 2^968268060 is an apocalyptic number.

968268060 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 968268060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512272160).

968268060 is an abundant number, since it is smaller than the sum of its proper divisors (2056276260).

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

968268060 is a wasteful number, since it uses less digits than its factorization.

968268060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 968268060 is about 31117.0059613710. The cubic root of 968268060 is about 989.3087920818.

The spelling of 968268060 in words is "nine hundred sixty-eight million, two hundred sixty-eight thousand, sixty".