4064000 has 72 divisors (see below), whose sum is σ = 10203648. Its totient is φ = 1612800.

The previous prime is 4063991. The next prime is 4064023. The reversal of 4064000 is 4604.

It is a happy number.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31937 + ... + 32063.

Almost surely, 2^4064000 is an apocalyptic number.

4064000 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 4064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101824).

4064000 is an abundant number, since it is smaller than the sum of its proper divisors (6139648).

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

4064000 is an equidigital number, since it uses as much as digits as its factorization.

4064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4064000 is about 2015.9365069367. The cubic root of 4064000 is about 159.5822435297.

Adding to 4064000 its reverse (4604), we get a palindrome (4068604).

It can be divided in two parts, 40 and 64000, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 4064000 in words is "four million, sixty-four thousand", and thus it is an eban number.