968873472 has 240 divisors, whose sum is σ = 3266234400. Its totient is φ = 276369408.

The previous prime is 968873461. The next prime is 968873483. The reversal of 968873472 is 274378869.

968873472 is a `hidden beast` number, since 96 + 8 + 87 + 3 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (968873461) and next prime (968873483).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580238 + ... + 1580850.

It is an arithmetic number, because the mean of its divisors is an integer number (13609310).

Almost surely, 2^968873472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633117200).

968873472 is an abundant number, since it is smaller than the sum of its proper divisors (2297360928).

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

968873472 is an equidigital number, since it uses as much as digits as its factorization.

968873472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 625 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 968873472 is about 31126.7324337136. The cubic root of 968873472 is about 989.5149383799.

The spelling of 968873472 in words is "nine hundred sixty-eight million, eight hundred seventy-three thousand, four hundred seventy-two".