113840 has 20 divisors (see below), whose sum is σ = 264864. Its totient is φ = 45504.

The previous prime is 113837. The next prime is 113843. The reversal of 113840 is 48311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113837) and next prime (113843).

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (113843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 632 + ... + 791.

2¹¹³⁸⁴⁰ is an apocalyptic number.

113840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113840 is an abundant number, since it is smaller than the sum of its proper divisors (151024).

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

113840 is a wasteful number, since it uses less digits than its factorization.

113840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 113840 is about 337.4018375765. The cubic root of 113840 is about 48.4653807576.

The spelling of 113840 in words is "one hundred thirteen thousand, eight hundred forty".