867164116 has 144 divisors (see below), whose sum is σ = 2011675008. Its totient is φ = 318193920.

The previous prime is 867164093. The next prime is 867164117. The reversal of 867164116 is 611461768.

It is a super-2 number, since 2×867164116² = 1503947208156122912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867164117) 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, 12942715 + ... + 12942781.

Almost surely, 2^867164116 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 867164116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005837504).

867164116 is an abundant number, since it is smaller than the sum of its proper divisors (1144510892).

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

867164116 is a wasteful number, since it uses less digits than its factorization.

867164116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 157 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 867164116 is about 29447.6504325897. The cubic root of 867164116 is about 953.6018816800.

The spelling of 867164116 in words is "eight hundred sixty-seven million, one hundred sixty-four thousand, one hundred sixteen".