112785408 has 144 divisors (see below), whose sum is σ = 338574600. Its totient is φ = 36126720.

The previous prime is 112785397. The next prime is 112785419. The reversal of 112785408 is 804587211.

It is an interprime number because it is at equal distance from previous prime (112785397) and next prime (112785419).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534423 + ... + 534633.

Almost surely, 2^112785408 is an apocalyptic number.

112785408 is a gapful number since it is divisible by the number (18) 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 112785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169287300).

112785408 is an abundant number, since it is smaller than the sum of its proper divisors (225789192).

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

112785408 is a wasteful number, since it uses less digits than its factorization.

112785408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 112785408 is about 10620.0474575211. The cubic root of 112785408 is about 483.1525822218.

The spelling of 112785408 in words is "one hundred twelve million, seven hundred eighty-five thousand, four hundred eight".