7568064 has 84 divisors (see below), whose sum is σ = 24804624. Its totient is φ = 2161152.

The previous prime is 7568063. The next prime is 7568069. The reversal of 7568064 is 4608657.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is not an unprimeable number, because it can be changed into a prime (7568063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3094 + ... + 4970.

Almost surely, 2^7568064 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 7568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12402312).

7568064 is an abundant number, since it is smaller than the sum of its proper divisors (17236560).

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

7568064 is a wasteful number, since it uses less digits than its factorization.

7568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7568064 is about 2751.0114503578. The cubic root of 7568064 is about 196.3337365623. Note that the first 3 decimals are identical.

The spelling of 7568064 in words is "seven million, five hundred sixty-eight thousand, sixty-four".