5806980 has 36 divisors (see below), whose sum is σ = 17615052. Its totient is φ = 1548480.

The previous prime is 5806961. The next prime is 5806981. The reversal of 5806980 is 896085.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 4588164 = 1104^2 + 2142^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (5806981) 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, 15951 + ... + 16310.

It is an arithmetic number, because the mean of its divisors is an integer number (489307).

Almost surely, 2^5806980 is an apocalyptic number.

It is an amenable number.

5806980 is an abundant number, since it is smaller than the sum of its proper divisors (11808072).

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

5806980 is a wasteful number, since it uses less digits than its factorization.

5806980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32276 (or 32271 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5806980 is about 2409.7676236517. The cubic root of 5806980 is about 179.7422236096.

It can be divided in two parts, 5806 and 980, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 5806980 in words is "five million, eight hundred six thousand, nine hundred eighty".