6713760 has 96 divisors (see below), whose sum is σ = 21555072. Its totient is φ = 1756160.

The previous prime is 6713747. The next prime is 6713767. The reversal of 6713760 is 673176.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (6713767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33982 + ... + 34178.

It is an arithmetic number, because the mean of its divisors is an integer number (224532).

Almost surely, 2^6713760 is an apocalyptic number.

6713760 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 6713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777536).

6713760 is an abundant number, since it is smaller than the sum of its proper divisors (14841312).

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

6713760 is a wasteful number, since it uses less digits than its factorization.

6713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 6713760 is about 2591.0924337044. The cubic root of 6713760 is about 188.6493315797.

The spelling of 6713760 in words is "six million, seven hundred thirteen thousand, seven hundred sixty".