6619680 has 72 divisors (see below), whose sum is σ = 22594572. Its totient is φ = 1764864.

The previous prime is 6619673. The next prime is 6619687. The reversal of 6619680 is 869166.

It is an interprime number because it is at equal distance from previous prime (6619673) and next prime (6619687).

It can be written as a sum of positive squares in 2 ways, for example, as 5934096 + 685584 = 2436^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (6619687) 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, 859 + ... + 3738.

Almost surely, 2^6619680 is an apocalyptic number.

6619680 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 6619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11297286).

6619680 is an abundant number, since it is smaller than the sum of its proper divisors (15974892).

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

6619680 is a wasteful number, since it uses less digits than its factorization.

6619680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6619680 is about 2572.8738795363. The cubic root of 6619680 is about 187.7640014428.

The spelling of 6619680 in words is "six million, six hundred nineteen thousand, six hundred eighty".