6451564 has 48 divisors (see below), whose sum is σ = 13861120. Its totient is φ = 2566080.

The previous prime is 6451561. The next prime is 6451573. The reversal of 6451564 is 4651546.

6451564 = T₄₄₇ + T₄₄₈ + ... + T₅₀₃.

It is not an unprimeable number, because it can be changed into a prime (6451561) 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, 35554 + ... + 35734.

Almost surely, 2^6451564 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 6451564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930560).

6451564 is an abundant number, since it is smaller than the sum of its proper divisors (7409556).

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

6451564 is a wasteful number, since it uses less digits than its factorization.

6451564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 6451564 is about 2539.9929133759. The cubic root of 6451564 is about 186.1608428733.

It can be divided in two parts, 645 and 1564, that added together give a square (2209 = 47²).

The spelling of 6451564 in words is "six million, four hundred fifty-one thousand, five hundred sixty-four".