112595616 has 96 divisors (see below), whose sum is σ = 375338880. Its totient is φ = 32168448.

The previous prime is 112595537. The next prime is 112595617. The reversal of 112595616 is 616595211.

112595616 is a `hidden beast` number, since 1 + 1 + 2 + 595 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112595617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3261 + ... + 15356.

It is an arithmetic number, because the mean of its divisors is an integer number (3909780).

Almost surely, 2^112595616 is an apocalyptic number.

112595616 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 112595616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187669440).

112595616 is an abundant number, since it is smaller than the sum of its proper divisors (262743264).

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

112595616 is a wasteful number, since it uses less digits than its factorization.

112595616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18643 (or 18629 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 112595616 is about 10611.1081419426. The cubic root of 112595616 is about 482.8814183644.

The spelling of 112595616 in words is "one hundred twelve million, five hundred ninety-five thousand, six hundred sixteen".