4113720 has 128 divisors (see below), whose sum is σ = 14817600. Its totient is φ = 1009152.

The previous prime is 4113719. The next prime is 4113721. The reversal of 4113720 is 273114.

4113720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4113719) and next prime (4113721).

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

It is a junction number, because it is equal to n+sod(n) for n = 4113693 and 4113702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13894 + ... + 14186.

Almost surely, 2^4113720 is an apocalyptic number.

4113720 is a gapful number since it is divisible by the number (40) 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 4113720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408800).

4113720 is an abundant number, since it is smaller than the sum of its proper divisors (10703880).

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

4113720 is a wasteful number, since it uses less digits than its factorization.

4113720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4113720 is about 2028.2307561025. The cubic root of 4113720 is about 160.2303972394.

Adding to 4113720 its reverse (273114), we get a palindrome (4386834).

Subtracting from 4113720 its reverse (273114), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4113720 in words is "four million, one hundred thirteen thousand, seven hundred twenty".