7528664 has 32 divisors (see below), whose sum is σ = 16586640. Its totient is φ = 3158400.

The previous prime is 7528663. The next prime is 7528667. The reversal of 7528664 is 4668257.

It is a happy number.

It is a super-3 number, since 3×7528664³ (a number of 22 digits) contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7528663) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2147 + ... + 4434.

Almost surely, 2^7528664 is an apocalyptic number.

It is an amenable number.

7528664 is an abundant number, since it is smaller than the sum of its proper divisors (9057976).

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

7528664 is a wasteful number, since it uses less digits than its factorization.

7528664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6607 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 7528664 is about 2743.8411032711. The cubic root of 7528664 is about 195.9924334161.

It can be divided in two parts, 7528 and 664, that added together give a 13-th power (8192 = 2¹³).

The spelling of 7528664 in words is "seven million, five hundred twenty-eight thousand, six hundred sixty-four".