5916680 has 128 divisors (see below), whose sum is σ = 17729280. Its totient is φ = 1720320.

The previous prime is 5916661. The next prime is 5916683. The reversal of 5916680 is 866195.

5916680 = 62³ + 63³ + ... + 78³.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5916680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5916683) 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 31 ways as a sum of consecutive naturals, for example, 52304 + ... + 52416.

It is an arithmetic number, because the mean of its divisors is an integer number (138510).

Almost surely, 2^5916680 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 5916680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864640).

5916680 is an abundant number, since it is smaller than the sum of its proper divisors (11812600).

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

5916680 is a wasteful number, since it uses less digits than its factorization.

5916680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 5916680 is about 2432.4226606410. The cubic root of 5916680 is about 180.8670105588.

The spelling of 5916680 in words is "five million, nine hundred sixteen thousand, six hundred eighty".