111864 has 32 divisors (see below), whose sum is σ = 288000. Its totient is φ = 36192.

The previous prime is 111863. The next prime is 111869. The reversal of 111864 is 468111.

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

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 111864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1377 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2¹¹¹⁸⁶⁴ 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 111864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144000).

111864 is an abundant number, since it is smaller than the sum of its proper divisors (176136).

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

111864 is a wasteful number, since it uses less digits than its factorization.

111864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 111864 is about 334.4607600302. The cubic root of 111864 is about 48.1833267055.

Adding to 111864 its reverse (468111), we get a palindrome (579975).

It can be divided in two parts, 11186 and 4, that multiplied together give a palindrome (44744).

The spelling of 111864 in words is "one hundred eleven thousand, eight hundred sixty-four".