5359680 has 84 divisors (see below), whose sum is σ = 18444972. Its totient is φ = 1428480.

The previous prime is 5359663. The next prime is 5359681. The reversal of 5359680 is 869535.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 4769856 = 768^2 + 2184^2 .

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 (5359681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1950 + ... + 3810.

It is an arithmetic number, because the mean of its divisors is an integer number (219583).

Almost surely, 2^5359680 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 5359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222486).

5359680 is an abundant number, since it is smaller than the sum of its proper divisors (13085292).

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

5359680 is a wasteful number, since it uses less digits than its factorization.

5359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5359680 is about 2315.0982700525. The cubic root of 5359680 is about 175.0033196649.

The spelling of 5359680 in words is "five million, three hundred fifty-nine thousand, six hundred eighty".