6497760 has 48 divisors (see below), whose sum is σ = 20469456. Its totient is φ = 1732608.

The previous prime is 6497737. The next prime is 6497761. The reversal of 6497760 is 677946.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6497761) 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, 6289 + ... + 7248.

It is an arithmetic number, because the mean of its divisors is an integer number (426447).

Almost surely, 2^6497760 is an apocalyptic number.

6497760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6497760 is an abundant number, since it is smaller than the sum of its proper divisors (13971696).

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

6497760 is a wasteful number, since it uses less digits than its factorization.

6497760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13555 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 6497760 is about 2549.0704187998. The cubic root of 6497760 is about 186.6041173650.

The spelling of 6497760 in words is "six million, four hundred ninety-seven thousand, seven hundred sixty".