4066000 has 80 divisors (see below), whose sum is σ = 10445760. Its totient is φ = 1526400.

The previous prime is 4065989. The next prime is 4066021. The reversal of 4066000 is 6604.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37947 + ... + 38053.

It is an arithmetic number, because the mean of its divisors is an integer number (130572).

Almost surely, 2^4066000 is an apocalyptic number.

4066000 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 4066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222880).

4066000 is an abundant number, since it is smaller than the sum of its proper divisors (6379760).

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

4066000 is a wasteful number, since it uses less digits than its factorization.

4066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4066000 is about 2016.4324932911. The cubic root of 4066000 is about 159.6084174261.

The spelling of 4066000 in words is "four million, sixty-six thousand", and thus it is an eban number.