5665680 has 160 divisors (see below), whose sum is σ = 20296320. Its totient is φ = 1451520.

The previous prime is 5665661. The next prime is 5665687. The reversal of 5665680 is 865665.

5665680 = 43² + 44² + ... + 257².

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (5665687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 92850 + ... + 92910.

It is an arithmetic number, because the mean of its divisors is an integer number (126852).

Almost surely, 2^5665680 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 5665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10148160).

5665680 is an abundant number, since it is smaller than the sum of its proper divisors (14630640).

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

5665680 is a wasteful number, since it uses less digits than its factorization.

5665680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5665680 is about 2380.2688923733. The cubic root of 5665680 is about 178.2723600522.

The spelling of 5665680 in words is "five million, six hundred sixty-five thousand, six hundred eighty".