4096000 has 64 divisors (see below), whose sum is σ = 10223460. Its totient is φ = 1638400.

The previous prime is 4095991. The next prime is 4096013. The reversal of 4096000 is 6904.

It is a happy number.

The cubic root of 4096000 is 160.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2768896 + 1327104 = 1664^2 + 1152^2 .

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

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 819198 + ... + 819202.

Almost surely, 2^4096000 is an apocalyptic number.

4096000 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 4096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111730).

4096000 is an abundant number, since it is smaller than the sum of its proper divisors (6127460).

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

4096000 is an frugal number, since it uses more digits than its factorization.

4096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 4096000 is about 2023.8577025078.

Multiplying 4096000 by its product of nonzero digits (216), we get a cube (884736000 = 960³).

The spelling of 4096000 in words is "four million, ninety-six thousand".