5917680 has 60 divisors (see below), whose sum is σ = 19875960. Its totient is φ = 1577856.

The previous prime is 5917673. The next prime is 5917687. The reversal of 5917680 is 867195.

5917680 is a `hidden beast` number, since 591 + 7 + 68 + 0 = 666.

5917680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5917673) and next prime (5917687).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5917687) 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, 3390 + ... + 4829.

It is an arithmetic number, because the mean of its divisors is an integer number (331266).

Almost surely, 2^5917680 is an apocalyptic number.

It is an amenable number.

5917680 is an abundant number, since it is smaller than the sum of its proper divisors (13958280).

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

5917680 is a wasteful number, since it uses less digits than its factorization.

5917680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5917680 is about 2432.6282083376. The cubic root of 5917680 is about 180.8771996526.

The spelling of 5917680 in words is "five million, nine hundred seventeen thousand, six hundred eighty".