112485600 has 216 divisors, whose sum is σ = 420441840. Its totient is φ = 28200960.

The previous prime is 112485599. The next prime is 112485601. The reversal of 112485600 is 6584211.

112485600 is a `hidden beast` number, since 1 + 12 + 48 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (112485599) and next prime (112485601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112485601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121941 + ... + 122859.

It is an arithmetic number, because the mean of its divisors is an integer number (1946490).

Almost surely, 2^112485600 is an apocalyptic number.

112485600 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 112485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210220920).

112485600 is an abundant number, since it is smaller than the sum of its proper divisors (307956240).

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

112485600 is a wasteful number, since it uses less digits than its factorization.

112485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 112485600 is about 10605.9228735646. The cubic root of 112485600 is about 482.7240943171.

The spelling of 112485600 in words is "one hundred twelve million, four hundred eighty-five thousand, six hundred".