111780432 has 80 divisors (see below), whose sum is σ = 328728960. Its totient is φ = 36345600.

The previous prime is 111780421. The next prime is 111780433. The reversal of 111780432 is 234087111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 111780396 and 111780405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111780433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14557 + ... + 20867.

It is an arithmetic number, because the mean of its divisors is an integer number (4109112).

Almost surely, 2^111780432 is an apocalyptic number.

111780432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111780432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164364480).

111780432 is an abundant number, since it is smaller than the sum of its proper divisors (216948528).

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

111780432 is a wasteful number, since it uses less digits than its factorization.

111780432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 111780432 is about 10572.6265421607. The cubic root of 111780432 is about 481.7132526523.

The spelling of 111780432 in words is "one hundred eleven million, seven hundred eighty thousand, four hundred thirty-two".