6864481 has 16 divisors (see below), whose sum is σ = 7938000. Its totient is φ = 5879808.

The previous prime is 6864479. The next prime is 6864497. The reversal of 6864481 is 1844686.

It can be written as a sum of positive squares in 8 ways, for example, as 57600 + 6806881 = 240^2 + 2609^2 .

It is a cyclic number.

It is not a de Polignac number, because 6864481 - 2¹ = 6864479 is a prime.

It is a super-2 number, since 2×6864481² = 94242198798722, which contains 22 as substring.

It is a Duffinian number.

6864481 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 6864481.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6864461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19495 + ... + 19843.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 2^6864481 is an apocalyptic number.

6864481 is the 1513-rd octagonal number.

It is an amenable number.

6864481 is a deficient number, since it is larger than the sum of its proper divisors (1073519).

6864481 is a wasteful number, since it uses less digits than its factorization.

6864481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468.

The product of its digits is 36864, while the sum is 37.

The square root of 6864481 is about 2620.0154579697. The cubic root of 6864481 is about 190.0505959437.

It can be divided in two parts, 68644 and 81, that multiplied together give a square (5560164 = 2358²).

The spelling of 6864481 in words is "six million, eight hundred sixty-four thousand, four hundred eighty-one".