112647264 has 48 divisors (see below), whose sum is σ = 298772208. Its totient is φ = 37158912.

The previous prime is 112647263. The next prime is 112647319. The reversal of 112647264 is 462746211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112647263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3264 + ... + 15360.

It is an arithmetic number, because the mean of its divisors is an integer number (6224421).

Almost surely, 2^112647264 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 112647264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149386104).

112647264 is an abundant number, since it is smaller than the sum of its proper divisors (186124944).

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

112647264 is a wasteful number, since it uses less digits than its factorization.

112647264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12207 (or 12199 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 112647264 is about 10613.5415389963. The cubic root of 112647264 is about 482.9552402058.

It can be divided in two parts, 11264 and 7264, that added together give a triangular number (18528 = T₁₉₂).

The spelling of 112647264 in words is "one hundred twelve million, six hundred forty-seven thousand, two hundred sixty-four".