112599648 has 216 divisors, whose sum is σ = 380933280. Its totient is φ = 31449600.

The previous prime is 112599647. The next prime is 112599659. The reversal of 112599648 is 846995211.

112599648 is a `hidden beast` number, since 1 + 12 + 599 + 6 + 48 = 666.

Its product of digits (155520) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112599647) 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 35 ways as a sum of consecutive naturals, for example, 1114798 + ... + 1114898.

It is an arithmetic number, because the mean of its divisors is an integer number (1763580).

Almost surely, 2^112599648 is an apocalyptic number.

112599648 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 112599648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

112599648 is an abundant number, since it is smaller than the sum of its proper divisors (268333632).

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

112599648 is a wasteful number, since it uses less digits than its factorization.

112599648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 112599648 is about 10611.2981298237. The cubic root of 112599648 is about 482.8871822200.

The spelling of 112599648 in words is "one hundred twelve million, five hundred ninety-nine thousand, six hundred forty-eight".