967196160 has 320 divisors, whose sum is σ = 3928320000. Its totient is φ = 220962816.

The previous prime is 967196149. The next prime is 967196173. The reversal of 967196160 is 61691769.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 482841 + ... + 484839.

It is an arithmetic number, because the mean of its divisors is an integer number (12276000).

Almost surely, 2^967196160 is an apocalyptic number.

967196160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964160000).

967196160 is an abundant number, since it is smaller than the sum of its proper divisors (2961123840).

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

967196160 is a wasteful number, since it uses less digits than its factorization.

967196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 967196160 is about 31099.7774911654. Note that the first 3 decimals coincide. The cubic root of 967196160 is about 988.9435930592.

The spelling of 967196160 in words is "nine hundred sixty-seven million, one hundred ninety-six thousand, one hundred sixty".