7026336 has 72 divisors (see below), whose sum is σ = 20651904. Its totient is φ = 2263680.

The previous prime is 7026307. The next prime is 7026343. The reversal of 7026336 is 6336207.

7026336 = 461² + 462² + ... + 491².

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8535 + ... + 9321.

It is an arithmetic number, because the mean of its divisors is an integer number (286832).

Almost surely, 2^7026336 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 7026336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325952).

7026336 is an abundant number, since it is smaller than the sum of its proper divisors (13625568).

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

7026336 is a wasteful number, since it uses less digits than its factorization.

7026336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 7026336 is about 2650.7236747726. The cubic root of 7026336 is about 191.5327178360.

The spelling of 7026336 in words is "seven million, twenty-six thousand, three hundred thirty-six".