112413840 has 360 divisors, whose sum is σ = 451221120. Its totient is φ = 23063040.

The previous prime is 112413839. The next prime is 112413859. The reversal of 112413840 is 48314211.

It is a super-3 number, since 3×112413840³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112413840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1422921 + ... + 1422999.

It is an arithmetic number, because the mean of its divisors is an integer number (1253392).

Almost surely, 2^112413840 is an apocalyptic number.

112413840 is a gapful number since it is divisible by the number (10) 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 112413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225610560).

112413840 is an abundant number, since it is smaller than the sum of its proper divisors (338807280).

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

112413840 is a wasteful number, since it uses less digits than its factorization.

112413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 112413840 is about 10602.5393184840. The cubic root of 112413840 is about 482.6214214717.

The spelling of 112413840 in words is "one hundred twelve million, four hundred thirteen thousand, eight hundred forty".