113226624 has 192 divisors, whose sum is σ = 392496000. Its totient is φ = 30606336.

The previous prime is 113226599. The next prime is 113226637. The reversal of 113226624 is 426622311.

113226624 is a `hidden beast` number, since 1 + 1 + 32 + 2 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152847 + ... + 153585.

It is an arithmetic number, because the mean of its divisors is an integer number (2044250).

Almost surely, 2^113226624 is an apocalyptic number.

113226624 is a gapful number since it is divisible by the number (14) 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 113226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196248000).

113226624 is an abundant number, since it is smaller than the sum of its proper divisors (279269376).

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

113226624 is a wasteful number, since it uses less digits than its factorization.

113226624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 770 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 113226624 is about 10640.7999699271. The cubic root of 113226624 is about 483.7817926744.

Adding to 113226624 its reverse (426622311), we get a palindrome (539848935).

The spelling of 113226624 in words is "one hundred thirteen million, two hundred twenty-six thousand, six hundred twenty-four".