968470272 has 432 divisors, whose sum is σ = 3581480448. Its totient is φ = 244408320.

The previous prime is 968470271. The next prime is 968470273. The reversal of 968470272 is 272074869.

968470272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (968470271) and next prime (968470273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968470271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9402573 + ... + 9402675.

It is an arithmetic number, because the mean of its divisors is an integer number (8290464).

Almost surely, 2^968470272 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 968470272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790740224).

968470272 is an abundant number, since it is smaller than the sum of its proper divisors (2613010176).

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

968470272 is a wasteful number, since it uses less digits than its factorization.

968470272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 968470272 is about 31120.2550118086. The cubic root of 968470272 is about 989.3776559957.

The spelling of 968470272 in words is "nine hundred sixty-eight million, four hundred seventy thousand, two hundred seventy-two".