112840320 has 64 divisors (see below), whose sum is σ = 359684640. Its totient is φ = 30090240.

The previous prime is 112840309. The next prime is 112840447. The reversal of 112840320 is 23048211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×112840320³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27466 + ... + 31305.

Almost surely, 2^112840320 is an apocalyptic number.

112840320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112840320 is an abundant number, since it is smaller than the sum of its proper divisors (246844320).

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

112840320 is an equidigital number, since it uses as much as digits as its factorization.

112840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58793 (or 58781 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 112840320 is about 10622.6324421021. The cubic root of 112840320 is about 483.2309805729.

Adding to 112840320 its reverse (23048211), we get a palindrome (135888531).

The spelling of 112840320 in words is "one hundred twelve million, eight hundred forty thousand, three hundred twenty".