111261864 has 128 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 29890560.

The previous prime is 111261851. The next prime is 111261869. The reversal of 111261864 is 468162111.

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 (111261869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199474 + ... + 200030.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 2^111261864 is an apocalyptic number.

111261864 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 111261864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

111261864 is an abundant number, since it is smaller than the sum of its proper divisors (226216536).

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

111261864 is a wasteful number, since it uses less digits than its factorization.

111261864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 639 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 111261864 is about 10548.0739474086. The cubic root of 111261864 is about 480.9671818008.

The spelling of 111261864 in words is "one hundred eleven million, two hundred sixty-one thousand, eight hundred sixty-four".