4005760 has 64 divisors (see below), whose sum is σ = 10465200. Its totient is φ = 1454080.

The previous prime is 4005733. The next prime is 4005767. The reversal of 4005760 is 675004.

4005760 = T₂₁₃ + T₂₁₄ + ... + T₃₂₂.

4005760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4005760² = 32092226355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005767) 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 7 ways as a sum of consecutive naturals, for example, 6756 + ... + 7324.

Almost surely, 2^4005760 is an apocalyptic number.

4005760 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 4005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232600).

4005760 is an abundant number, since it is smaller than the sum of its proper divisors (6459440).

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

4005760 is a wasteful number, since it uses less digits than its factorization.

4005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 4005760 is about 2001.4394819729. The cubic root of 4005760 is about 158.8162639028.

The spelling of 4005760 in words is "four million, five thousand, seven hundred sixty".