6536640 has 112 divisors (see below), whose sum is σ = 22677120. Its totient is φ = 1582080.

The previous prime is 6536633. The next prime is 6536659. The reversal of 6536640 is 466356.

6536640 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6536598 and 6536607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10251 + ... + 10869.

Almost surely, 2^6536640 is an apocalyptic number.

6536640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338560).

6536640 is an abundant number, since it is smaller than the sum of its proper divisors (16140480).

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

6536640 is a wasteful number, since it uses less digits than its factorization.

6536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 6536640 is about 2556.6853541255. The cubic root of 6536640 is about 186.9755656446.

The spelling of 6536640 in words is "six million, five hundred thirty-six thousand, six hundred forty".