4136080 has 80 divisors (see below), whose sum is σ = 10718064. Its totient is φ = 1474560.

The previous prime is 4136059. The next prime is 4136123. The reversal of 4136080 is 806314.

4136080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1218816 + 2917264 = 1104^2 + 1708^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 42592 + ... + 42688.

Almost surely, 2^4136080 is an apocalyptic number.

4136080 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 4136080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359032).

4136080 is an abundant number, since it is smaller than the sum of its proper divisors (6581984).

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

4136080 is a wasteful number, since it uses less digits than its factorization.

4136080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4136080 is about 2033.7354793581. The cubic root of 4136080 is about 160.5201819841.

The spelling of 4136080 in words is "four million, one hundred thirty-six thousand, eighty".