112689024 has 192 divisors, whose sum is σ = 357909840. Its totient is φ = 31309824.

The previous prime is 112689007. The next prime is 112689043. The reversal of 112689024 is 420986211.

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

It is a super-2 number, since 2×112689024² = 25397632260145152, which contains 22 as substring.

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, 997192 + ... + 997304.

Almost surely, 2^112689024 is an apocalyptic number.

112689024 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 112689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178954920).

112689024 is an abundant number, since it is smaller than the sum of its proper divisors (245220816).

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

112689024 is a wasteful number, since it uses less digits than its factorization.

112689024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 112689024 is about 10615.5086547937. The cubic root of 112689024 is about 483.0149123730.

The spelling of 112689024 in words is "one hundred twelve million, six hundred eighty-nine thousand, twenty-four".