112966624 has 48 divisors (see below), whose sum is σ = 231720048. Its totient is φ = 54162432.

The previous prime is 112966591. The next prime is 112966673. The reversal of 112966624 is 426669211.

It is a super-2 number, since 2×112966624² = 25522916275914752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85779 + ... + 87085.

It is an arithmetic number, because the mean of its divisors is an integer number (4827501).

Almost surely, 2^112966624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112966624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115860024).

112966624 is an abundant number, since it is smaller than the sum of its proper divisors (118753424).

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

112966624 is a wasteful number, since it uses less digits than its factorization.

112966624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1419 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 112966624 is about 10628.5758218117. The cubic root of 112966624 is about 483.4112094361.

The spelling of 112966624 in words is "one hundred twelve million, nine hundred sixty-six thousand, six hundred twenty-four".