5825664 has 96 divisors (see below), whose sum is σ = 18099900. Its totient is φ = 1787904.

The previous prime is 5825653. The next prime is 5825669. The reversal of 5825664 is 4665285.

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 627264 = 2280^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5825664² = 67876722081792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5825669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14782 + ... + 15170.

Almost surely, 2^5825664 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 5825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049950).

5825664 is an abundant number, since it is smaller than the sum of its proper divisors (12274236).

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

5825664 is a wasteful number, since it uses less digits than its factorization.

5825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

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

The square root of 5825664 is about 2413.6412326607. The cubic root of 5825664 is about 179.9347911944.

The spelling of 5825664 in words is "five million, eight hundred twenty-five thousand, six hundred sixty-four".