968273460 has 576 divisors, whose sum is σ = 3968294400. Its totient is φ = 191600640.

The previous prime is 968273429. The next prime is 968273513. The reversal of 968273460 is 64372869.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 13263984 + ... + 13264056.

It is an arithmetic number, because the mean of its divisors is an integer number (6889400).

Almost surely, 2^968273460 is an apocalyptic number.

968273460 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 968273460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984147200).

968273460 is an abundant number, since it is smaller than the sum of its proper divisors (3000020940).

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

968273460 is a wasteful number, since it uses less digits than its factorization.

968273460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 968273460 is about 31117.0927305235. The cubic root of 968273460 is about 989.3106311929.

The spelling of 968273460 in words is "nine hundred sixty-eight million, two hundred seventy-three thousand, four hundred sixty".