367966116 has 72 divisors (see below), whose sum is σ = 1065040704. Its totient is φ = 104932800.

The previous prime is 367966111. The next prime is 367966127. The reversal of 367966116 is 611669763.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (367966111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175611 + ... + 177693.

It is an arithmetic number, because the mean of its divisors is an integer number (14792232).

Almost surely, 2^367966116 is an apocalyptic number.

367966116 is a gapful number since it is divisible by the number (36) 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 367966116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532520352).

367966116 is an abundant number, since it is smaller than the sum of its proper divisors (697074588).

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

367966116 is a wasteful number, since it uses less digits than its factorization.

367966116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2796 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 367966116 is about 19182.4429101197. The cubic root of 367966116 is about 716.5875793263.

The spelling of 367966116 in words is "three hundred sixty-seven million, nine hundred sixty-six thousand, one hundred sixteen".