4005720 has 64 divisors (see below), whose sum is σ = 13356000. Its totient is φ = 1067904.

The previous prime is 4005691. The next prime is 4005733. The reversal of 4005720 is 275004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4005693 and 4005702.

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 15 ways as a sum of consecutive naturals, for example, 775 + ... + 2934.

Almost surely, 2^4005720 is an apocalyptic number.

4005720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005720 is an abundant number, since it is smaller than the sum of its proper divisors (9350280).

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

4005720 is a wasteful number, since it uses less digits than its factorization.

4005720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 4005720 is about 2001.4294891402. The cubic root of 4005720 is about 158.8157352747.

The spelling of 4005720 in words is "four million, five thousand, seven hundred twenty".