111609216 has 192 divisors, whose sum is σ = 350859600. Its totient is φ = 33914880.

The previous prime is 111609193. The next prime is 111609217. The reversal of 111609216 is 612906111.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×111609216² = 24913234192269312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111609216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111609217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802875 + ... + 803013.

Almost surely, 2^111609216 is an apocalyptic number.

111609216 is a gapful number since it is divisible by the number (16) 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 111609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175429800).

111609216 is an abundant number, since it is smaller than the sum of its proper divisors (239250384).

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

111609216 is a wasteful number, since it uses less digits than its factorization.

111609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 111609216 is about 10564.5263026792. The cubic root of 111609216 is about 481.4671774937.

The spelling of 111609216 in words is "one hundred eleven million, six hundred nine thousand, two hundred sixteen".