111780564 has 72 divisors (see below), whose sum is σ = 310530528. Its totient is φ = 31187520.

The previous prime is 111780547. The next prime is 111780577. The reversal of 111780564 is 465087111.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23074 + ... + 27494.

It is an arithmetic number, because the mean of its divisors is an integer number (4312924).

Almost surely, 2^111780564 is an apocalyptic number.

111780564 is a gapful number since it is divisible by the number (14) 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 111780564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155265264).

111780564 is an abundant number, since it is smaller than the sum of its proper divisors (198749964).

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

111780564 is a wasteful number, since it uses less digits than its factorization.

111780564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 111780564 is about 10572.6327846946. The cubic root of 111780564 is about 481.7134422685.

The spelling of 111780564 in words is "one hundred eleven million, seven hundred eighty thousand, five hundred sixty-four".