7056768 has 128 divisors (see below), whose sum is σ = 21150720. Its totient is φ = 2072576.

The previous prime is 7056727. The next prime is 7056779. The reversal of 7056768 is 8676507.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 150121 + ... + 150167.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 2^7056768 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 7056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575360).

7056768 is an abundant number, since it is smaller than the sum of its proper divisors (14093952).

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

7056768 is a wasteful number, since it uses less digits than its factorization.

7056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 7056768 is about 2656.4577918725. The cubic root of 7056768 is about 191.8088375123.

The spelling of 7056768 in words is "seven million, fifty-six thousand, seven hundred sixty-eight".