4035664 has 40 divisors (see below), whose sum is σ = 8524008. Its totient is φ = 1843200.

The previous prime is 4035653. The next prime is 4035677. The reversal of 4035664 is 4665304.

It can be written as a sum of positive squares in 4 ways, for example, as 3240000 + 795664 = 1800^2 + 892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9864 + ... + 10264.

Almost surely, 2^4035664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4035664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262004).

4035664 is an abundant number, since it is smaller than the sum of its proper divisors (4488344).

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

4035664 is a wasteful number, since it uses less digits than its factorization.

4035664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4035664 is about 2008.8962143426. The cubic root of 4035664 is about 159.2104855765.

The spelling of 4035664 in words is "four million, thirty-five thousand, six hundred sixty-four".