112262688 has 72 divisors (see below), whose sum is σ = 322319088. Its totient is φ = 37060992.

The previous prime is 112262681. The next prime is 112262737. The reversal of 112262688 is 886262211.

112262688 is a `hidden beast` number, since 1 + 1 + 22 + 626 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×112262688² = 25205822233970688, which contains 22 as substring.

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 (112262681) 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 11 ways as a sum of consecutive naturals, for example, 28995 + ... + 32637.

It is an arithmetic number, because the mean of its divisors is an integer number (4476654).

Almost surely, 2^112262688 is an apocalyptic number.

112262688 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 112262688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161159544).

112262688 is an abundant number, since it is smaller than the sum of its proper divisors (210056400).

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

112262688 is a wasteful number, since it uses less digits than its factorization.

112262688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3755 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 112262688 is about 10595.4088170301. The cubic root of 112262688 is about 482.4050130251.

The spelling of 112262688 in words is "one hundred twelve million, two hundred sixty-two thousand, six hundred eighty-eight".