967139264 has 112 divisors (see below), whose sum is σ = 2410968000. Its totient is φ = 382491648.

The previous prime is 967139249. The next prime is 967139281. The reversal of 967139264 is 462931769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283682 + ... + 287070.

It is an arithmetic number, because the mean of its divisors is an integer number (21526500).

Almost surely, 2^967139264 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 967139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205484000).

967139264 is an abundant number, since it is smaller than the sum of its proper divisors (1443828736).

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

967139264 is a wasteful number, since it uses less digits than its factorization.

967139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3411 counting only the distinct ones).

The product of its digits is 489888, while the sum is 47.

The square root of 967139264 is about 31098.8627444799. The cubic root of 967139264 is about 988.9242009095.

The spelling of 967139264 in words is "nine hundred sixty-seven million, one hundred thirty-nine thousand, two hundred sixty-four".