113640 has 32 divisors (see below), whose sum is σ = 341280. Its totient is φ = 30272.

The previous prime is 113623. The next prime is 113647. The reversal of 113640 is 46311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (113647) by changing a digit.

113640 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 354 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (10665).

2¹¹³⁶⁴⁰ is an apocalyptic number.

113640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113640 is an abundant number, since it is smaller than the sum of its proper divisors (227640).

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

113640 is a wasteful number, since it uses less digits than its factorization.

113640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113640 is about 337.1053247874. The cubic root of 113640 is about 48.4369819577.

Adding to 113640 its reverse (46311), we get a palindrome (159951).

It can be divided in two parts, 1136 and 40, that added together give a triangular number (1176 = T₄₈).

The spelling of 113640 in words is "one hundred thirteen thousand, six hundred forty".