117264 has 40 divisors (see below), whose sum is σ = 347200. Its totient is φ = 33408.

The previous prime is 117259. The next prime is 117269. The reversal of 117264 is 462711.

It is an interprime number because it is at equal distance from previous prime (117259) and next prime (117269).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117264.

It is not an unprimeable number, because it can be changed into a prime (117269) by changing a digit.

117264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2¹¹⁷²⁶⁴ is an apocalyptic number.

117264 is a gapful number since it is divisible by the number (14) 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 117264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173600).

117264 is an abundant number, since it is smaller than the sum of its proper divisors (229936).

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

117264 is a wasteful number, since it uses less digits than its factorization.

117264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 117264 is about 342.4383156132. The cubic root of 117264 is about 48.9464916383.

Adding to 117264 its reverse (462711), we get a palindrome (579975).

The spelling of 117264 in words is "one hundred seventeen thousand, two hundred sixty-four".