6689760 has 192 divisors, whose sum is σ = 26417664. Its totient is φ = 1382400.

The previous prime is 6689741. The next prime is 6689773. The reversal of 6689760 is 679866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36870 + ... + 37050.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 2^6689760 is an apocalyptic number.

6689760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6689760 is the 2112-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

6689760 is an abundant number, since it is smaller than the sum of its proper divisors (19727904).

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

6689760 is a wasteful number, since it uses less digits than its factorization.

6689760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 6689760 is about 2586.4570361790. The cubic root of 6689760 is about 188.4242719167.

The spelling of 6689760 in words is "six million, six hundred eighty-nine thousand, seven hundred sixty".