6516864 has 48 divisors (see below), whose sum is σ = 18756270. Its totient is φ = 2171904.

The previous prime is 6516859. The next prime is 6516871. The reversal of 6516864 is 4686156.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 166464 = 2520^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1677 + ... + 3980.

Almost surely, 2^6516864 is an apocalyptic number.

6516864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6516864 is an abundant number, since it is smaller than the sum of its proper divisors (12239406).

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

6516864 is a wasteful number, since it uses less digits than its factorization.

6516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5662 counting only the distinct ones).

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

The square root of 6516864 is about 2552.8149169104. The cubic root of 6516864 is about 186.7868160724.

The spelling of 6516864 in words is "six million, five hundred sixteen thousand, eight hundred sixty-four".