4115880 has 128 divisors (see below), whose sum is σ = 14227200. Its totient is φ = 1057536.

The previous prime is 4115879. The next prime is 4115893. The reversal of 4115880 is 885114.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39909 + ... + 40011.

It is an arithmetic number, because the mean of its divisors is an integer number (111150).

Almost surely, 2^4115880 is an apocalyptic number.

4115880 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 4115880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113600).

4115880 is an abundant number, since it is smaller than the sum of its proper divisors (10111320).

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

4115880 is a wasteful number, since it uses less digits than its factorization.

4115880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 4115880 is about 2028.7631700127. The cubic root of 4115880 is about 160.2584365080.

The spelling of 4115880 in words is "four million, one hundred fifteen thousand, eight hundred eighty".