112911840 has 192 divisors, whose sum is σ = 402796800. Its totient is φ = 29532672.

The previous prime is 112911811. The next prime is 112911863. The reversal of 112911840 is 48119211.

It is a super-2 number, since 2×112911840² = 25498167224371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 254659 + ... + 255101.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 2^112911840 is an apocalyptic number.

112911840 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 112911840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201398400).

112911840 is an abundant number, since it is smaller than the sum of its proper divisors (289884960).

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

112911840 is a wasteful number, since it uses less digits than its factorization.

112911840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 112911840 is about 10625.9983060416. The cubic root of 112911840 is about 483.3330521864. Note that the first 3 decimals are identical.

It can be divided in two parts, 11291 and 1840, that added together give a palindrome (13131).

The spelling of 112911840 in words is "one hundred twelve million, nine hundred eleven thousand, eight hundred forty".