7563540 has 48 divisors (see below), whose sum is σ = 21756672. Its totient is φ = 1961856.

The previous prime is 7563533. The next prime is 7563553. The reversal of 7563540 is 453657.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7563498 and 7563507.

It is a congruent number.

It is an unprimeable number.

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, 517 + ... + 3923.

It is an arithmetic number, because the mean of its divisors is an integer number (453264).

Almost surely, 2^7563540 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 7563540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878336).

7563540 is an abundant number, since it is smaller than the sum of its proper divisors (14193132).

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

7563540 is a wasteful number, since it uses less digits than its factorization.

7563540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 7563540 is about 2750.1890844086. The cubic root of 7563540 is about 196.2946076267.

The spelling of 7563540 in words is "seven million, five hundred sixty-three thousand, five hundred forty".