9117864 has 96 divisors (see below), whose sum is σ = 28704000. Its totient is φ = 2560896.

The previous prime is 9117863. The next prime is 9117877. The reversal of 9117864 is 4687119.

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

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 (9117863) 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, 39702 + ... + 39930.

It is an arithmetic number, because the mean of its divisors is an integer number (299000).

Almost surely, 2^9117864 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 9117864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352000).

9117864 is an abundant number, since it is smaller than the sum of its proper divisors (19586136).

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

9117864 is a wasteful number, since it uses less digits than its factorization.

9117864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 9117864 is about 3019.5801032594. The cubic root of 9117864 is about 208.9124729840.

It can be divided in two parts, 91 and 17864, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 9117864 in words is "nine million, one hundred seventeen thousand, eight hundred sixty-four".