4135980 has 48 divisors (see below), whose sum is σ = 11985120. Its totient is φ = 1064448.

The previous prime is 4135933. The next prime is 4135987. The reversal of 4135980 is 895314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4135987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552 + ... + 2928.

It is an arithmetic number, because the mean of its divisors is an integer number (249690).

Almost surely, 2^4135980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992560).

4135980 is an abundant number, since it is smaller than the sum of its proper divisors (7849140).

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

4135980 is a wasteful number, since it uses less digits than its factorization.

4135980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 4135980 is about 2033.7108939080. The cubic root of 4135980 is about 160.5188883158.

It can be divided in two parts, 4135 and 980, that added together give a palindrome (5115).

The spelling of 4135980 in words is "four million, one hundred thirty-five thousand, nine hundred eighty".