112765664 has 48 divisors (see below), whose sum is σ = 243066096. Its totient is φ = 51072000.

The previous prime is 112765663. The next prime is 112765673. The reversal of 112765664 is 466567211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112765661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160514 + ... + 161214.

It is an arithmetic number, because the mean of its divisors is an integer number (5063877).

Almost surely, 2^112765664 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 112765664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121533048).

112765664 is an abundant number, since it is smaller than the sum of its proper divisors (130300432).

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

112765664 is a wasteful number, since it uses less digits than its factorization.

112765664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1171 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 112765664 is about 10619.1178541346. The cubic root of 112765664 is about 483.1243873177.

The spelling of 112765664 in words is "one hundred twelve million, seven hundred sixty-five thousand, six hundred sixty-four".