967894272 has 108 divisors (see below), whose sum is σ = 2894222240. Its totient is φ = 322610688.

The previous prime is 967894253. The next prime is 967894283. The reversal of 967894272 is 272498769.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54429 + ... + 69987.

Almost surely, 2^967894272 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 967894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447111120).

967894272 is an abundant number, since it is smaller than the sum of its proper divisors (1926327968).

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

967894272 is an equidigital number, since it uses as much as digits as its factorization.

967894272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15590 (or 15564 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 967894272 is about 31110.9992124972. Note that the first 3 decimals coincide. The cubic root of 967894272 is about 989.1814721915.

The spelling of 967894272 in words is "nine hundred sixty-seven million, eight hundred ninety-four thousand, two hundred seventy-two".