967160320 has 160 divisors (see below), whose sum is σ = 2737253376. Its totient is φ = 320716800.

The previous prime is 967160261. The next prime is 967160323. The reversal of 967160320 is 23061769.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (967160323) 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, 554650 + ... + 556390.

Almost surely, 2^967160320 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 967160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368626688).

967160320 is an abundant number, since it is smaller than the sum of its proper divisors (1770093056).

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

967160320 is a wasteful number, since it uses less digits than its factorization.

967160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 967160320 is about 31099.2012759170. The cubic root of 967160320 is about 988.9313776205.

The spelling of 967160320 in words is "nine hundred sixty-seven million, one hundred sixty thousand, three hundred twenty".