112191264 has 96 divisors (see below), whose sum is σ = 331128000. Its totient is φ = 36951552.

The previous prime is 112191253. The next prime is 112191269. The reversal of 112191264 is 462191211.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (112191269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76167 + ... + 77625.

It is an arithmetic number, because the mean of its divisors is an integer number (3449250).

Almost surely, 2^112191264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112191264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165564000).

112191264 is an abundant number, since it is smaller than the sum of its proper divisors (218936736).

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

112191264 is a wasteful number, since it uses less digits than its factorization.

112191264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1553 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 112191264 is about 10592.0377642831. The cubic root of 112191264 is about 482.3026857488.

The spelling of 112191264 in words is "one hundred twelve million, one hundred ninety-one thousand, two hundred sixty-four".