6496720 has 60 divisors (see below), whose sum is σ = 16102764. Its totient is φ = 2437120.

The previous prime is 6496717. The next prime is 6496729. The reversal of 6496720 is 276946.

It can be written as a sum of positive squares in 6 ways, for example, as 620944 + 5875776 = 788^2 + 2424^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 6⁴ + 4³ + 9⁷ + 6⁸ + 7 + 2¹⁵ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6496729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22980 + ... + 23260.

Almost surely, 2^6496720 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 6496720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051382).

6496720 is an abundant number, since it is smaller than the sum of its proper divisors (9606044).

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

6496720 is a wasteful number, since it uses less digits than its factorization.

6496720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 6496720 is about 2548.8664147028. The cubic root of 6496720 is about 186.5941611833.

The spelling of 6496720 in words is "six million, four hundred ninety-six thousand, seven hundred twenty".