967106160 has 60 divisors (see below), whose sum is σ = 3247867272. Its totient is φ = 257894784.

The previous prime is 967106141. The next prime is 967106167. The reversal of 967106160 is 61601769.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967106167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670882 + ... + 672321.

Almost surely, 2^967106160 is an apocalyptic number.

967106160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

967106160 is an abundant number, since it is smaller than the sum of its proper divisors (2280761112).

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

967106160 is a wasteful number, since it uses less digits than its factorization.

967106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343222 (or 1343213 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 967106160 is about 31098.3305018131. The cubic root of 967106160 is about 988.9129175568.

The spelling of 967106160 in words is "nine hundred sixty-seven million, one hundred six thousand, one hundred sixty".