2585664 has 63 divisors (see below), whose sum is σ = 7523607. Its totient is φ = 849024.

The previous prime is 2585659. The next prime is 2585707. The reversal of 2585664 is 4665852.

The square root of 2585664 is 1608.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (57600) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38559 + ... + 38625.

2^2585664 is an apocalyptic number.

2585664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2585664 is the 1608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585664

2585664 is an abundant number, since it is smaller than the sum of its proper divisors (4937943).

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

2585664 is an equidigital number, since it uses as much as digits as its factorization.

2585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 72 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The cubic root of 2585664 is about 137.2536901672.

Multiplying 2585664 by its sum of digits (36), we get a square (93083904 = 9648²).

2585664 divided by its sum of digits (36) gives a square (71824 = 268²).

Multiplying 2585664 by its product of digits (57600), we get a square (148934246400 = 385920²).

It can be divided in two parts, 2585 and 664, that added together give a square (3249 = 57²).

The spelling of 2585664 in words is "two million, five hundred eighty-five thousand, six hundred sixty-four".