112038768 has 80 divisors (see below), whose sum is σ = 323312640. Its totient is φ = 37146816.

The previous prime is 112038677. The next prime is 112038793. The reversal of 112038768 is 867830211.

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

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, 95755 + ... + 96917.

It is an arithmetic number, because the mean of its divisors is an integer number (4041408).

Almost surely, 2^112038768 is an apocalyptic number.

112038768 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 112038768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161656320).

112038768 is an abundant number, since it is smaller than the sum of its proper divisors (211273872).

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

112038768 is a wasteful number, since it uses less digits than its factorization.

112038768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 112038768 is about 10584.8367016218. The cubic root of 112038768 is about 482.0840633211.

Adding to 112038768 its reverse (867830211), we get a palindrome (979868979).

The spelling of 112038768 in words is "one hundred twelve million, thirty-eight thousand, seven hundred sixty-eight".