6812480 has 56 divisors (see below), whose sum is σ = 16535400. Its totient is φ = 2672640.

The previous prime is 6812479. The next prime is 6812483. The reversal of 6812480 is 842186.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 6677056 = 368^2 + 2584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6812483) 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, 19346 + ... + 19694.

It is an arithmetic number, because the mean of its divisors is an integer number (295275).

Almost surely, 2^6812480 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 6812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267700).

6812480 is an abundant number, since it is smaller than the sum of its proper divisors (9722920).

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

6812480 is a wasteful number, since it uses less digits than its factorization.

6812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 6812480 is about 2610.0727959197. The cubic root of 6812480 is about 189.5694776601.

The spelling of 6812480 in words is "six million, eight hundred twelve thousand, four hundred eighty".