112506240 has 256 divisors, whose sum is σ = 447690240. Its totient is φ = 23347200.

The previous prime is 112506209. The next prime is 112506257. The reversal of 112506240 is 42605211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147460 + ... + 148220.

It is an arithmetic number, because the mean of its divisors is an integer number (1748790).

Almost surely, 2^112506240 is an apocalyptic number.

112506240 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 112506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223845120).

112506240 is an abundant number, since it is smaller than the sum of its proper divisors (335184000).

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

112506240 is a wasteful number, since it uses less digits than its factorization.

112506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 112506240 is about 10606.8958701403. The cubic root of 112506240 is about 482.7536175508.

The spelling of 112506240 in words is "one hundred twelve million, five hundred six thousand, two hundred forty".