6801580 has 12 divisors (see below), whose sum is σ = 14283360. Its totient is φ = 2720624.

The previous prime is 6801577. The next prime is 6801607. The reversal of 6801580 is 851086.

It is a happy number.

It is a super-2 number, since 2×6801580² = 92522980992800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170020 + ... + 170059.

It is an arithmetic number, because the mean of its divisors is an integer number (1190280).

Almost surely, 2^6801580 is an apocalyptic number.

It is an amenable number.

6801580 is an abundant number, since it is smaller than the sum of its proper divisors (7481780).

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

6801580 is a wasteful number, since it uses less digits than its factorization.

6801580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340088 (or 340086 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 6801580 is about 2607.9838956558. The cubic root of 6801580 is about 189.4683196716.

It can be divided in two parts, 6801 and 580, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 6801580 in words is "six million, eight hundred one thousand, five hundred eighty".