967846164 has 144 divisors (see below), whose sum is σ = 2522378880. Its totient is φ = 288076800.

The previous prime is 967846157. The next prime is 967846169. The reversal of 967846164 is 461648769.

Its product of digits (1741824) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967846169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10874632 + ... + 10874720.

It is an arithmetic number, because the mean of its divisors is an integer number (17516520).

Almost surely, 2^967846164 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 967846164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261189440).

967846164 is an abundant number, since it is smaller than the sum of its proper divisors (1554532716).

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

967846164 is a wasteful number, since it uses less digits than its factorization.

967846164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 189 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 967846164 is about 31110.2260358230. The cubic root of 967846164 is about 989.1650832352.

The spelling of 967846164 in words is "nine hundred sixty-seven million, eight hundred forty-six thousand, one hundred sixty-four".