6456960 has 192 divisors, whose sum is σ = 23868000. Its totient is φ = 1603584.

The previous prime is 6456949. The next prime is 6456971. The reversal of 6456960 is 696546.

6456960 = 24³ + 25³ + ... + 71³.

It is a happy number.

6456960 is a `hidden beast` number, since 645 + 6 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6456949) and next prime (6456971).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109411 + ... + 109469.

Almost surely, 2^6456960 is an apocalyptic number.

6456960 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 6456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934000).

6456960 is an abundant number, since it is smaller than the sum of its proper divisors (17411040).

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

6456960 is a wasteful number, since it uses less digits than its factorization.

6456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6456960 is about 2541.0548990528. The cubic root of 6456960 is about 186.2127292057.

The spelling of 6456960 in words is "six million, four hundred fifty-six thousand, nine hundred sixty".