5621664 has 48 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1812480.

The previous prime is 5621653. The next prime is 5621687. The reversal of 5621664 is 4661265.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5621664² = 63206212257792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2032 + ... + 3920.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^5621664 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 5621664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

5621664 is an abundant number, since it is smaller than the sum of its proper divisors (9619296).

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

5621664 is a wasteful number, since it uses less digits than its factorization.

5621664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1925 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 5621664 is about 2371.0048502692. The cubic root of 5621664 is about 177.8095003576.

It can be divided in two parts, 56216 and 64, that added together give a triangular number (56280 = T₃₃₅).

The spelling of 5621664 in words is "five million, six hundred twenty-one thousand, six hundred sixty-four".