6501880 has 64 divisors (see below), whose sum is σ = 18247680. Its totient is φ = 2025600.

The previous prime is 6501863. The next prime is 6501889. The reversal of 6501880 is 881056.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6501889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025 + ... + 4135.

It is an arithmetic number, because the mean of its divisors is an integer number (285120).

Almost surely, 2^6501880 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 6501880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123840).

6501880 is an abundant number, since it is smaller than the sum of its proper divisors (11745800).

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

6501880 is a wasteful number, since it uses less digits than its factorization.

6501880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2136 counting only the distinct ones).

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

The square root of 6501880 is about 2549.8784284746. The cubic root of 6501880 is about 186.6435487244.

It can be divided in two parts, 6501 and 880, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 6501880 in words is "six million, five hundred one thousand, eight hundred eighty".