7564500 has 108 divisors (see below), whose sum is σ = 24459708. Its totient is φ = 1968000.

The previous prime is 7564499. The next prime is 7564511. The reversal of 7564500 is 54657.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 6411024 + 1153476 = 2532^2 + 1074^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 184480 + ... + 184520.

Almost surely, 2^7564500 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 7564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12229854).

7564500 is an abundant number, since it is smaller than the sum of its proper divisors (16895208).

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

7564500 is a wasteful number, since it uses less digits than its factorization.

7564500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 7564500 is about 2750.3636123247. The cubic root of 7564500 is about 196.3029121530.

The spelling of 7564500 in words is "seven million, five hundred sixty-four thousand, five hundred".