6426000 has 320 divisors, whose sum is σ = 27855360. Its totient is φ = 1382400.

The previous prime is 6425999. The next prime is 6426001. The reversal of 6426000 is 6246.

6426000 is a `hidden beast` number, since 64 + 2 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6425999) and next prime (6426001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6426001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377992 + ... + 378008.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

Almost surely, 2^6426000 is an apocalyptic number.

6426000 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 6426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

6426000 is an abundant number, since it is smaller than the sum of its proper divisors (21429360).

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

6426000 is a wasteful number, since it uses less digits than its factorization.

6426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6426000 is about 2534.9556209133. The cubic root of 6426000 is about 185.9146330422.

The spelling of 6426000 in words is "six million, four hundred twenty-six thousand".