112567464 has 96 divisors (see below), whose sum is σ = 315881280. Its totient is φ = 36191232.

The previous prime is 112567463. The next prime is 112567487. The reversal of 112567464 is 464765211.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (504).

It is not an unprimeable number, because it can be changed into a prime (112567463) 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 23 ways as a sum of consecutive naturals, for example, 318712 + ... + 319064.

It is an arithmetic number, because the mean of its divisors is an integer number (3290430).

Almost surely, 2^112567464 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 112567464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157940640).

112567464 is an abundant number, since it is smaller than the sum of its proper divisors (203313816).

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

112567464 is a wasteful number, since it uses less digits than its factorization.

112567464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 112567464 is about 10609.7815246121. The cubic root of 112567464 is about 482.8411704657.

The spelling of 112567464 in words is "one hundred twelve million, five hundred sixty-seven thousand, four hundred sixty-four".