7641504 has 108 divisors (see below), whose sum is σ = 23680566. Its totient is φ = 2336256.

The previous prime is 7641493. The next prime is 7641509. The reversal of 7641504 is 4051467.

It can be written as a sum of positive squares in 3 ways, for example, as 3027600 + 4613904 = 1740^2 + 2148^2 .

It is not an unprimeable number, because it can be changed into a prime (7641509) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48594 + ... + 48750.

Almost surely, 2^7641504 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 7641504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11840283).

7641504 is an abundant number, since it is smaller than the sum of its proper divisors (16039062).

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

7641504 is a wasteful number, since it uses less digits than its factorization.

7641504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7641504 is about 2764.3270428804. The cubic root of 7641504 is about 196.9667632694.

The spelling of 7641504 in words is "seven million, six hundred forty-one thousand, five hundred four".