111711864 has 64 divisors (see below), whose sum is σ = 305763840. Its totient is φ = 33730560.

The previous prime is 111711833. The next prime is 111711871. The reversal of 111711864 is 468117111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96312 + ... + 97464.

It is an arithmetic number, because the mean of its divisors is an integer number (4777560).

Almost surely, 2^111711864 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 111711864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152881920).

111711864 is an abundant number, since it is smaller than the sum of its proper divisors (194051976).

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

111711864 is a wasteful number, since it uses less digits than its factorization.

111711864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1536 counting only the distinct ones).

The product of its digits is 1344, while the sum is 30.

The square root of 111711864 is about 10569.3833311126. The cubic root of 111711864 is about 481.6147354976.

Adding to 111711864 its reverse (468117111), we get a palindrome (579828975).

It can be divided in two parts, 111711 and 864, that added together give a triangular number (112575 = T₄₇₄).

The spelling of 111711864 in words is "one hundred eleven million, seven hundred eleven thousand, eight hundred sixty-four".