4084080 has 320 divisors, whose sum is σ = 17998848. Its totient is φ = 737280.

The previous prime is 4084079. The next prime is 4084081. The reversal of 4084080 is 804804.

4084080 = T₁₈₉ + T₁₉₀ + ... + T₃₁₄.

4084080 is digitally balanced in base 2, 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 (4084079) and next prime (4084081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4084080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084081) 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 63 ways as a sum of consecutive naturals, for example, 240232 + ... + 240248.

Almost surely, 2^4084080 is an apocalyptic number.

4084080 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 4084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

4084080 is an abundant number, since it is smaller than the sum of its proper divisors (13914768).

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

4084080 is a wasteful number, since it uses less digits than its factorization.

4084080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4084080 is about 2020.9106858048. The cubic root of 4084080 is about 159.8446408626.

Adding to 4084080 its reverse (804804), we get a palindrome (4888884).

The spelling of 4084080 in words is "four million, eighty-four thousand, eighty".