4085760 has 192 divisors, whose sum is σ = 15724800. Its totient is φ = 884736.

The previous prime is 4085749. The next prime is 4085761. The reversal of 4085760 is 675804.

4085760 = T₁₀₅ + T₁₀₆ + ... + T₂₉₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085761) 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, 215031 + ... + 215049.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

Almost surely, 2^4085760 is an apocalyptic number.

4085760 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 4085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

4085760 is an abundant number, since it is smaller than the sum of its proper divisors (11639040).

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

4085760 is a wasteful number, since it uses less digits than its factorization.

4085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4085760 is about 2021.3262972613. The cubic root of 4085760 is about 159.8665554010.

The spelling of 4085760 in words is "four million, eighty-five thousand, seven hundred sixty".