7564641 has 16 divisors (see below), whose sum is σ = 12134400. Its totient is φ = 4094928.

The previous prime is 7564619. The next prime is 7564649. The reversal of 7564641 is 1464657.

It is not a de Polignac number, because 7564641 - 2⁹ = 7564129 is a prime.

7564641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7564649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9081 + ... + 9878.

It is an arithmetic number, because the mean of its divisors is an integer number (758400).

Almost surely, 2^7564641 is an apocalyptic number.

It is an amenable number.

7564641 is a deficient number, since it is larger than the sum of its proper divisors (4569759).

7564641 is a wasteful number, since it uses less digits than its factorization.

7564641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18988.

The product of its digits is 20160, while the sum is 33.

The square root of 7564641 is about 2750.3892451797. The cubic root of 7564641 is about 196.3041318212.

The spelling of 7564641 in words is "seven million, five hundred sixty-four thousand, six hundred forty-one".