967292064 has 96 divisors (see below), whose sum is σ = 2836088640. Its totient is φ = 320737536.

The previous prime is 967292023. The next prime is 967292069. The reversal of 967292064 is 460292769.

967292064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (967292069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167367 + ... + 173049.

It is an arithmetic number, because the mean of its divisors is an integer number (29542590).

Almost surely, 2^967292064 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 967292064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418044320).

967292064 is an abundant number, since it is smaller than the sum of its proper divisors (1868796576).

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

967292064 is a wasteful number, since it uses less digits than its factorization.

967292064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 967292064 is about 31101.3193289288. The cubic root of 967292064 is about 988.9762787803.

The spelling of 967292064 in words is "nine hundred sixty-seven million, two hundred ninety-two thousand, sixty-four".