111605640 has 96 divisors (see below), whose sum is σ = 343465920. Its totient is φ = 29011584.

The previous prime is 111605623. The next prime is 111605647. The reversal of 111605640 is 46506111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 111605640.

It is not an unprimeable number, because it can be changed into a prime (111605647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221629 + ... + 222131.

It is an arithmetic number, because the mean of its divisors is an integer number (3577770).

Almost surely, 2^111605640 is an apocalyptic number.

111605640 is a gapful number since it is divisible by the number (10) 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 111605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171732960).

111605640 is an abundant number, since it is smaller than the sum of its proper divisors (231860280).

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

111605640 is a wasteful number, since it uses less digits than its factorization.

111605640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 111605640 is about 10564.3570556849. The cubic root of 111605640 is about 481.4620353108.

The spelling of 111605640 in words is "one hundred eleven million, six hundred five thousand, six hundred forty".