967152264 has 64 divisors (see below), whose sum is σ = 2610249600. Its totient is φ = 296856576.

The previous prime is 967152257. The next prime is 967152281. The reversal of 967152264 is 462251769.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 131517 + ... + 138675.

It is an arithmetic number, because the mean of its divisors is an integer number (40785150).

Almost surely, 2^967152264 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 967152264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305124800).

967152264 is an abundant number, since it is smaller than the sum of its proper divisors (1643097336).

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

967152264 is a wasteful number, since it uses less digits than its factorization.

967152264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7614 (or 7610 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 967152264 is about 31099.0717546360. The cubic root of 967152264 is about 988.9286318319.

The spelling of 967152264 in words is "nine hundred sixty-seven million, one hundred fifty-two thousand, two hundred sixty-four".