112815840 has 96 divisors (see below), whose sum is σ = 361289376. Its totient is φ = 29583360.

The previous prime is 112815827. The next prime is 112815881. The reversal of 112815840 is 48518211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 112815798 and 112815807.

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, 27354 + ... + 31206.

It is an arithmetic number, because the mean of its divisors is an integer number (3763431).

Almost surely, 2^112815840 is an apocalyptic number.

112815840 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 112815840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180644688).

112815840 is an abundant number, since it is smaller than the sum of its proper divisors (248473536).

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

112815840 is a wasteful number, since it uses less digits than its factorization.

112815840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 112815840 is about 10621.4801228454. The cubic root of 112815840 is about 483.1960334016.

The spelling of 112815840 in words is "one hundred twelve million, eight hundred fifteen thousand, eight hundred forty".