6732640 has 48 divisors (see below), whose sum is σ = 16465680. Its totient is φ = 2598400.

The previous prime is 6732623. The next prime is 6732647. The reversal of 6732640 is 462376.

It is a d-powerful number, because it can be written as 6⁵ + 7 + 3¹⁴ + 2⁷ + 6⁸ + 4⁹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 6732599 and 6732608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6732647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3915 + ... + 5365.

It is an arithmetic number, because the mean of its divisors is an integer number (343035).

Almost surely, 2^6732640 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 6732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232840).

6732640 is an abundant number, since it is smaller than the sum of its proper divisors (9733040).

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

6732640 is a wasteful number, since it uses less digits than its factorization.

6732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 6732640 is about 2594.7331269323. The cubic root of 6732640 is about 188.8260018770.

The spelling of 6732640 in words is "six million, seven hundred thirty-two thousand, six hundred forty".