6455680 has 128 divisors (see below), whose sum is σ = 19388160. Its totient is φ = 1996800.

The previous prime is 6455677. The next prime is 6455681. The reversal of 6455680 is 865546.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6455681) 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, 49215 + ... + 49345.

It is an arithmetic number, because the mean of its divisors is an integer number (151470).

Almost surely, 2^6455680 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 6455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694080).

6455680 is an abundant number, since it is smaller than the sum of its proper divisors (12932480).

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

6455680 is a wasteful number, since it uses less digits than its factorization.

6455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 6455680 is about 2540.8030226682. The cubic root of 6455680 is about 186.2004237221.

The spelling of 6455680 in words is "six million, four hundred fifty-five thousand, six hundred eighty".