111964216 has 96 divisors (see below), whose sum is σ = 266595840. Its totient is φ = 43690752.

The previous prime is 111964213. The next prime is 111964267. The reversal of 111964216 is 612469111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111964213) 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, 647106 + ... + 647278.

It is an arithmetic number, because the mean of its divisors is an integer number (2777040).

Almost surely, 2^111964216 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 111964216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133297920).

111964216 is an abundant number, since it is smaller than the sum of its proper divisors (154631624).

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

111964216 is a wasteful number, since it uses less digits than its factorization.

111964216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 111964216 is about 10581.3144741095. The cubic root of 111964216 is about 481.9771113366.

The spelling of 111964216 in words is "one hundred eleven million, nine hundred sixty-four thousand, two hundred sixteen".