112563840 has 128 divisors (see below), whose sum is σ = 374544000. Its totient is φ = 28700672.

The previous prime is 112563833. The next prime is 112563887. The reversal of 112563840 is 48365211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112563798 and 112563807.

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, 42886 + ... + 45434.

It is an arithmetic number, because the mean of its divisors is an integer number (2926125).

Almost surely, 2^112563840 is an apocalyptic number.

112563840 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 112563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187272000).

112563840 is an abundant number, since it is smaller than the sum of its proper divisors (261980160).

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

112563840 is a wasteful number, since it uses less digits than its factorization.

112563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 112563840 is about 10609.6107374399. The cubic root of 112563840 is about 482.8359888762.

The spelling of 112563840 in words is "one hundred twelve million, five hundred sixty-three thousand, eight hundred forty".