6801520 has 80 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 2412800.

The previous prime is 6801499. The next prime is 6801521. The reversal of 6801520 is 251086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6801491 and 6801500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6801521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51855 + ... + 51985.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 2^6801520 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 6801520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

6801520 is an abundant number, since it is smaller than the sum of its proper divisors (10875920).

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

6801520 is a wasteful number, since it uses less digits than its factorization.

6801520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 6801520 is about 2607.9723924919. The cubic root of 6801520 is about 189.4677625396.

The spelling of 6801520 in words is "six million, eight hundred one thousand, five hundred twenty".