111864690 has 96 divisors (see below), whose sum is σ = 341452800. Its totient is φ = 24872832.

The previous prime is 111864679. The next prime is 111864703. The reversal of 111864690 is 96468111.

It is a happy number.

111864690 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 646 + 9 + 0 = 666.

It is a super-2 number, since 2×111864690² = 25027417737592200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20911 + ... + 25709.

It is an arithmetic number, because the mean of its divisors is an integer number (3556800).

Almost surely, 2^111864690 is an apocalyptic number.

111864690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111864690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

111864690 is an abundant number, since it is smaller than the sum of its proper divisors (229588110).

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

111864690 is a wasteful number, since it uses less digits than its factorization.

111864690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 111864690 is about 10576.6105156614. The cubic root of 111864690 is about 481.8342577352.

It can be divided in two parts, 11186 and 4690, that added together give a square (15876 = 126²).

The spelling of 111864690 in words is "one hundred eleven million, eight hundred sixty-four thousand, six hundred ninety".