112367840 has 96 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 40955904.

The previous prime is 112367813. The next prime is 112367873. The reversal of 112367840 is 48763211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 112367797 and 112367806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184817 + ... + 185423.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^112367840 is an apocalyptic number.

112367840 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 112367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

112367840 is an abundant number, since it is smaller than the sum of its proper divisors (177210400).

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

112367840 is a wasteful number, since it uses less digits than its factorization.

112367840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 112367840 is about 10600.3698048700. The cubic root of 112367840 is about 482.5555825612. Note that the first 4 decimals are identical.

The spelling of 112367840 in words is "one hundred twelve million, three hundred sixty-seven thousand, eight hundred forty".