112601664 has 280 divisors, whose sum is σ = 398312640. Its totient is φ = 30772224.

The previous prime is 112601663. The next prime is 112601681. The reversal of 112601664 is 466106211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112601663) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1052299 + ... + 1052405.

Almost surely, 2^112601664 is an apocalyptic number.

112601664 is a gapful number since it is divisible by the number (14) 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 112601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199156320).

112601664 is an abundant number, since it is smaller than the sum of its proper divisors (285710976).

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

112601664 is a wasteful number, since it uses less digits than its factorization.

112601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112601664 is about 10611.3931224887. The cubic root of 112601664 is about 482.8900640963.

Adding to 112601664 its reverse (466106211), we get a palindrome (578707875).

The spelling of 112601664 in words is "one hundred twelve million, six hundred one thousand, six hundred sixty-four".