7526540 has 48 divisors (see below), whose sum is σ = 18564672. Its totient is φ = 2509056.

The previous prime is 7526537. The next prime is 7526549. The reversal of 7526540 is 456257.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (7526549) 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 15 ways as a sum of consecutive naturals, for example, 4454 + ... + 5906.

It is an arithmetic number, because the mean of its divisors is an integer number (386764).

Almost surely, 2^7526540 is an apocalyptic number.

7526540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7526540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9282336).

7526540 is an abundant number, since it is smaller than the sum of its proper divisors (11038132).

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

7526540 is a wasteful number, since it uses less digits than its factorization.

7526540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 7526540 is about 2743.4540273167. The cubic root of 7526540 is about 195.9740004386.

The spelling of 7526540 in words is "seven million, five hundred twenty-six thousand, five hundred forty".