7540560 has 80 divisors (see below), whose sum is σ = 25980480. Its totient is φ = 2010240.

The previous prime is 7540541. The next prime is 7540567. The reversal of 7540560 is 650457.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7540560² = 113720090227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7540567) 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, 415 + ... + 3905.

It is an arithmetic number, because the mean of its divisors is an integer number (324756).

Almost surely, 2^7540560 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 7540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12990240).

7540560 is an abundant number, since it is smaller than the sum of its proper divisors (18439920).

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

7540560 is a wasteful number, since it uses less digits than its factorization.

7540560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3501 counting only the distinct ones).

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

The square root of 7540560 is about 2746.0080116416. The cubic root of 7540560 is about 196.0956079436.

It can be divided in two parts, 7540 and 560, that added together give a square (8100 = 90²).

The spelling of 7540560 in words is "seven million, five hundred forty thousand, five hundred sixty".