111623616 has 112 divisors (see below), whose sum is σ = 353466400. Its totient is φ = 34338816.

The previous prime is 111623609. The next prime is 111623719. The reversal of 111623616 is 616326111.

111623616 is a `hidden beast` number, since 11 + 16 + 23 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 111623616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19980 + ... + 24948.

It is an arithmetic number, because the mean of its divisors is an integer number (3155950).

Almost surely, 2^111623616 is an apocalyptic number.

111623616 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 111623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176733200).

111623616 is an abundant number, since it is smaller than the sum of its proper divisors (241842784).

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

111623616 is a wasteful number, since it uses less digits than its factorization.

111623616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003 (or 4987 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 111623616 is about 10565.2078067589. The cubic root of 111623616 is about 481.4878831589.

Adding to 111623616 its reverse (616326111), we get a palindrome (727949727).

The spelling of 111623616 in words is "one hundred eleven million, six hundred twenty-three thousand, six hundred sixteen".