4415664 has 40 divisors (see below), whose sum is σ = 12445632. Its totient is φ = 1337920.

The previous prime is 4415641. The next prime is 4415669. The reversal of 4415664 is 4665144.

It is not an unprimeable number, because it can be changed into a prime (4415669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3654 + ... + 4709.

Almost surely, 2^4415664 is an apocalyptic number.

4415664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4415664 is an abundant number, since it is smaller than the sum of its proper divisors (8029968).

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

4415664 is a wasteful number, since it uses less digits than its factorization.

4415664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8379 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 4415664 is about 2101.3481386957. The cubic root of 4415664 is about 164.0584760736.

It can be divided in two parts, 441 and 5664, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 4415664 in words is "four million, four hundred fifteen thousand, six hundred sixty-four".