112609840 has 120 divisors (see below), whose sum is σ = 318060000. Its totient is φ = 36900864.

The previous prime is 112609837. The next prime is 112609859. The reversal of 112609840 is 48906211.

It is a happy 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, 89536 + ... + 90784.

It is an arithmetic number, because the mean of its divisors is an integer number (2650500).

Almost surely, 2^112609840 is an apocalyptic number.

112609840 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 112609840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159030000).

112609840 is an abundant number, since it is smaller than the sum of its proper divisors (205450160).

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

112609840 is a wasteful number, since it uses less digits than its factorization.

112609840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 112609840 is about 10611.7783618016. The cubic root of 112609840 is about 482.9017513528.

The spelling of 112609840 in words is "one hundred twelve million, six hundred nine thousand, eight hundred forty".