3990564 has 18 divisors (see below), whose sum is σ = 10087350. Its totient is φ = 1330176.

The previous prime is 3990541. The next prime is 3990593. The reversal of 3990564 is 4650993.

3990564 is a `hidden beast` number, since 3 + 9 + 90 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3968064 + 22500 = 1992^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 110849 = 3990564 / (3 + 9 + 9 + 0 + 5 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55389 + ... + 55460.

Almost surely, 2^3990564 is an apocalyptic number.

It is an amenable number.

3990564 is an abundant number, since it is smaller than the sum of its proper divisors (6096786).

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

3990564 is a wasteful number, since it uses less digits than its factorization.

3990564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110859 (or 110854 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3990564 is about 1997.6396071364. The cubic root of 3990564 is about 158.6151842797.

It can be divided in two parts, 3990 and 564, that added together give a palindrome (4554).

The spelling of 3990564 in words is "three million, nine hundred ninety thousand, five hundred sixty-four".