112535784 has 128 divisors (see below), whose sum is σ = 348624000. Its totient is φ = 33426432.

The previous prime is 112535771. The next prime is 112535807. The reversal of 112535784 is 487535211.

112535784 is a `hidden beast` number, since 112 + 535 + 7 + 8 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 68962 + ... + 70574.

It is an arithmetic number, because the mean of its divisors is an integer number (2723625).

Almost surely, 2^112535784 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 112535784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174312000).

112535784 is an abundant number, since it is smaller than the sum of its proper divisors (236088216).

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

112535784 is a wasteful number, since it uses less digits than its factorization.

112535784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 112535784 is about 10608.2884576165. The cubic root of 112535784 is about 482.7958706875.

The spelling of 112535784 in words is "one hundred twelve million, five hundred thirty-five thousand, seven hundred eighty-four".