6456681 has 45 divisors (see below), whose sum is σ = 11933805. Its totient is φ = 3354120.

The previous prime is 6456679. The next prime is 6456691. The reversal of 6456681 is 1866546.

The square root of 6456681 is 2541.

It is a perfect power (a square), and thus also a powerful number.

6456681 is a `hidden beast` number, since 645 + 6 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 6456681 - 2¹ = 6456679 is a prime.

It is a super-2 number, since 2×6456681² = 83377459071522, which contains 22 as substring.

Its product of digits (34560) is a multiple of the sum of its prime factors (64).

It is a Curzon number.

6456681 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6456641) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 586966 + ... + 586976.

Almost surely, 2^6456681 is an apocalyptic number.

6456681 is the 2541-st square number.

6456681 is the 1271-st centered octagonal number.

It is an amenable number.

6456681 is a deficient number, since it is larger than the sum of its proper divisors (5477124).

6456681 is an equidigital number, since it uses as much as digits as its factorization.

6456681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 6456681 is about 186.2100471334.

Multiplying 6456681 by its sum of digits (36), we get a square (232440516 = 15246²).

The spelling of 6456681 in words is "six million, four hundred fifty-six thousand, six hundred eighty-one".