967393152 has 128 divisors (see below), whose sum is σ = 3114835200. Its totient is φ = 293137920.

The previous prime is 967393121. The next prime is 967393171. The reversal of 967393152 is 251393769.

967393152 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 (128).

It is a junction number, because it is equal to n+sod(n) for n = 967393098 and 967393107.

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, 25293 + ... + 50739.

It is an arithmetic number, because the mean of its divisors is an integer number (24334650).

Almost surely, 2^967393152 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 967393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557417600).

967393152 is an abundant number, since it is smaller than the sum of its proper divisors (2147442048).

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

967393152 is a wasteful number, since it uses less digits than its factorization.

967393152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25481 (or 25463 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 967393152 is about 31102.9444265330. The cubic root of 967393152 is about 989.0107289584.

The spelling of 967393152 in words is "nine hundred sixty-seven million, three hundred ninety-three thousand, one hundred fifty-two".