112803840 has 300 divisors, whose sum is σ = 428199156. Its totient is φ = 28311552.

The previous prime is 112803839. The next prime is 112803869. The reversal of 112803840 is 48308211.

112803840 is a `hidden beast` number, since 1 + 1 + 280 + 384 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 47775744 = 8064^2 + 6912^2 .

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 19 ways as a sum of consecutive naturals, for example, 6635512 + ... + 6635528.

Almost surely, 2^112803840 is an apocalyptic number.

112803840 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 112803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214099578).

112803840 is an abundant number, since it is smaller than the sum of its proper divisors (315395316).

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

112803840 is an frugal number, since it uses more digits than its factorization.

112803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 112803840 is about 10620.9152148014. The cubic root of 112803840 is about 483.1789005889.

The spelling of 112803840 in words is "one hundred twelve million, eight hundred three thousand, eight hundred forty".