112362768 has 160 divisors (see below), whose sum is σ = 374380800. Its totient is φ = 31601664.

The previous prime is 112362749. The next prime is 112362769. The reversal of 112362768 is 867263211.

112362768 is a `hidden beast` number, since 1 + 1 + 23 + 627 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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

It is not an unprimeable number, because it can be changed into a prime (112362769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220498 + ... + 221006.

It is an arithmetic number, because the mean of its divisors is an integer number (2339880).

Almost surely, 2^112362768 is an apocalyptic number.

112362768 is a gapful number since it is divisible by the number (18) 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 112362768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187190400).

112362768 is an abundant number, since it is smaller than the sum of its proper divisors (262018032).

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

112362768 is a wasteful number, since it uses less digits than its factorization.

112362768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 112362768 is about 10600.1305652336. The cubic root of 112362768 is about 482.5483220059.

The spelling of 112362768 in words is "one hundred twelve million, three hundred sixty-two thousand, seven hundred sixty-eight".