6426960 has 80 divisors (see below), whose sum is σ = 20296320. Its totient is φ = 1681920.

The previous prime is 6426947. The next prime is 6426971. The reversal of 6426960 is 696246.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14421 + ... + 14859.

It is an arithmetic number, because the mean of its divisors is an integer number (253704).

Almost surely, 2^6426960 is an apocalyptic number.

6426960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6426960 is the 1464-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6426960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10148160).

6426960 is an abundant number, since it is smaller than the sum of its proper divisors (13869360).

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

6426960 is a wasteful number, since it uses less digits than its factorization.

6426960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6426960 is about 2535.1449662692. The cubic root of 6426960 is about 185.9238907018.

The spelling of 6426960 in words is "six million, four hundred twenty-six thousand, nine hundred sixty".