968914272 has 48 divisors (see below), whose sum is σ = 2677268160. Its totient is φ = 305972352.

The previous prime is 968914267. The next prime is 968914277. The reversal of 968914272 is 272419869.

It is an interprime number because it is at equal distance from previous prime (968914267) and next prime (968914277).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968914277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263778 + ... + 267425.

It is an arithmetic number, because the mean of its divisors is an integer number (55776420).

Almost surely, 2^968914272 is an apocalyptic number.

It is an amenable number.

968914272 is an abundant number, since it is smaller than the sum of its proper divisors (1708353888).

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

968914272 is a wasteful number, since it uses less digits than its factorization.

968914272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531235 (or 531227 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 968914272 is about 31127.3878120217. The cubic root of 968914272 is about 989.5288279275.

The spelling of 968914272 in words is "nine hundred sixty-eight million, nine hundred fourteen thousand, two hundred seventy-two".