113580 has 36 divisors (see below), whose sum is σ = 345072. Its totient is φ = 30240.

The previous prime is 113567. The next prime is 113591. The reversal of 113580 is 85311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 136 + ... + 495.

2¹¹³⁵⁸⁰ is an apocalyptic number.

113580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113580 is an abundant number, since it is smaller than the sum of its proper divisors (231492).

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

113580 is a wasteful number, since it uses less digits than its factorization.

113580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 113580 is about 337.0163200796. The cubic root of 113580 is about 48.4284558209.

Adding to 113580 its reverse (85311), we get a palindrome (198891).

The spelling of 113580 in words is "one hundred thirteen thousand, five hundred eighty".