112596480 has 240 divisors, whose sum is σ = 406630224. Its totient is φ = 29859840.

The previous prime is 112596467. The next prime is 112596487. The reversal of 112596480 is 84695211.

112596480 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 9 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112596487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621990 + ... + 622170.

Almost surely, 2^112596480 is an apocalyptic number.

112596480 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 112596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203315112).

112596480 is an abundant number, since it is smaller than the sum of its proper divisors (294033744).

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

112596480 is an frugal number, since it uses more digits than its factorization.

112596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 112596480 is about 10611.1488539178. The cubic root of 112596480 is about 482.8826534879.

The spelling of 112596480 in words is "one hundred twelve million, five hundred ninety-six thousand, four hundred eighty".