112879008 has 240 divisors, whose sum is σ = 375417504. Its totient is φ = 32970240.

The previous prime is 112879003. The next prime is 112879033. The reversal of 112879008 is 800978211.

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 (112879001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1054891 + ... + 1054997.

Almost surely, 2^112879008 is an apocalyptic number.

112879008 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 112879008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187708752).

112879008 is an abundant number, since it is smaller than the sum of its proper divisors (262538496).

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

112879008 is a wasteful number, since it uses less digits than its factorization.

112879008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 112879008 is about 10624.4533035823. The cubic root of 112879008 is about 483.2862005037.

The spelling of 112879008 in words is "one hundred twelve million, eight hundred seventy-nine thousand, eight".