112584864 has 48 divisors (see below), whose sum is σ = 337756608. Its totient is φ = 32166912.

The previous prime is 112584859. The next prime is 112584877. The reversal of 112584864 is 468485211.

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

It is an unprimeable number.

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, 83097 + ... + 84440.

It is an arithmetic number, because the mean of its divisors is an integer number (7036596).

Almost surely, 2^112584864 is an apocalyptic number.

112584864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112584864 is an abundant number, since it is smaller than the sum of its proper divisors (225171744).

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

112584864 is a wasteful number, since it uses less digits than its factorization.

112584864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167557 (or 167549 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 112584864 is about 10610.6014909618. The cubic root of 112584864 is about 482.8660474098.

The spelling of 112584864 in words is "one hundred twelve million, five hundred eighty-four thousand, eight hundred sixty-four".