967796160 has 224 divisors, whose sum is σ = 3273795840. Its totient is φ = 241532928.

The previous prime is 967796153. The next prime is 967796191. The reversal of 967796160 is 61697769.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1769007 + ... + 1769553.

It is an arithmetic number, because the mean of its divisors is an integer number (14615160).

Almost surely, 2^967796160 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 967796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636897920).

967796160 is an abundant number, since it is smaller than the sum of its proper divisors (2305999680).

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

967796160 is a wasteful number, since it uses less digits than its factorization.

967796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The square root of 967796160 is about 31109.4223668650. The cubic root of 967796160 is about 989.1480477929.

The spelling of 967796160 in words is "nine hundred sixty-seven million, seven hundred ninety-six thousand, one hundred sixty".