111601590 has 48 divisors (see below), whose sum is σ = 274659984. Its totient is φ = 29021440.

The previous prime is 111601577. The next prime is 111601601. The reversal of 111601590 is 95106111.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 111601590.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49324 + ... + 51536.

It is an arithmetic number, because the mean of its divisors is an integer number (5722083).

Almost surely, 2^111601590 is an apocalyptic number.

111601590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111601590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137329992).

111601590 is an abundant number, since it is smaller than the sum of its proper divisors (163058394).

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

111601590 is a wasteful number, since it uses less digits than its factorization.

111601590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 24.

The square root of 111601590 is about 10564.1653716704. The cubic root of 111601590 is about 481.4562113971.

The spelling of 111601590 in words is "one hundred eleven million, six hundred one thousand, five hundred ninety".