5913680 has 40 divisors (see below), whose sum is σ = 14229000. Its totient is φ = 2283008.

The previous prime is 5913679. The next prime is 5913689. The reversal of 5913680 is 863195.

It can be written as a sum of positive squares in 4 ways, for example, as 1817104 + 4096576 = 1348^2 + 2024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×5913680² = 69943222284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5913689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1046 + ... + 3594.

It is an arithmetic number, because the mean of its divisors is an integer number (355725).

Almost surely, 2^5913680 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 5913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114500).

5913680 is an abundant number, since it is smaller than the sum of its proper divisors (8315320).

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

5913680 is a wasteful number, since it uses less digits than its factorization.

5913680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 5913680 is about 2431.8059133081. The cubic root of 5913680 is about 180.8364363874.

The spelling of 5913680 in words is "five million, nine hundred thirteen thousand, six hundred eighty".