112613616 has 60 divisors (see below), whose sum is σ = 316284072. Its totient is φ = 37404288.

The previous prime is 112613573. The next prime is 112613621. The reversal of 112613616 is 616316211.

112613616 is a `hidden beast` number, since 11 + 26 + 13 + 616 = 666.

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 112613616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44415 + ... + 46881.

Almost surely, 2^112613616 is an apocalyptic number.

112613616 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 112613616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158142036).

112613616 is an abundant number, since it is smaller than the sum of its proper divisors (203670456).

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

112613616 is a wasteful number, since it uses less digits than its factorization.

112613616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2789 counting only the distinct ones).

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

The square root of 112613616 is about 10611.9562758240. The cubic root of 112613616 is about 482.9071487989.

Adding to 112613616 its reverse (616316211), we get a palindrome (728929827).

The spelling of 112613616 in words is "one hundred twelve million, six hundred thirteen thousand, six hundred sixteen".