5365680 has 80 divisors (see below), whose sum is σ = 16903680. Its totient is φ = 1407744.

The previous prime is 5365673. The next prime is 5365681. The reversal of 5365680 is 865635.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5365681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18819 + ... + 19101.

It is an arithmetic number, because the mean of its divisors is an integer number (211296).

Almost surely, 2^5365680 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 5365680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451840).

5365680 is an abundant number, since it is smaller than the sum of its proper divisors (11538000).

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

5365680 is a wasteful number, since it uses less digits than its factorization.

5365680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5365680 is about 2316.3937489123. The cubic root of 5365680 is about 175.0685989564.

It can be divided in two parts, 536 and 5680, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 5365680 in words is "five million, three hundred sixty-five thousand, six hundred eighty".