113620 has 48 divisors (see below), whose sum is σ = 282240. Its totient is φ = 38016.

The previous prime is 113591. The next prime is 113621. The reversal of 113620 is 26311.

113620 = T₅₆ + T₅₇ + ... + T₉₄.

It is a super-3 number, since 3×113620³ = 4400333669784000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 113620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4929 + ... + 4951.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2¹¹³⁶²⁰ is an apocalyptic number.

113620 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 113620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

113620 is an abundant number, since it is smaller than the sum of its proper divisors (168620).

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

113620 is a wasteful number, since it uses less digits than its factorization.

113620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 113620 is about 337.0756591627. The cubic root of 113620 is about 48.4341402456.

Adding to 113620 its reverse (26311), we get a palindrome (139931).

It can be divided in two parts, 1136 and 20, that added together give a square (1156 = 34²).

The spelling of 113620 in words is "one hundred thirteen thousand, six hundred twenty".