6427296 has 96 divisors (see below), whose sum is σ = 19293120. Its totient is φ = 2080512.

The previous prime is 6427277. The next prime is 6427331. The reversal of 6427296 is 6927246.

It is a happy number.

6427296 is a `hidden beast` number, since 642 + 7 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6427296.

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, 37066 + ... + 37238.

It is an arithmetic number, because the mean of its divisors is an integer number (200970).

Almost surely, 2^6427296 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 6427296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9646560).

6427296 is an abundant number, since it is smaller than the sum of its proper divisors (12865824).

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

6427296 is a wasteful number, since it uses less digits than its factorization.

6427296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 6427296 is about 2535.2112338028. The cubic root of 6427296 is about 185.9271306648.

The spelling of 6427296 in words is "six million, four hundred twenty-seven thousand, two hundred ninety-six".