7642560 has 112 divisors (see below), whose sum is σ = 25603200. Its totient is φ = 1926144.

The previous prime is 7642543. The next prime is 7642561. The reversal of 7642560 is 652467.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7642561) 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, 18031 + ... + 18449.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^7642560 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 7642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).

7642560 is an abundant number, since it is smaller than the sum of its proper divisors (17960640).

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

7642560 is a wasteful number, since it uses less digits than its factorization.

7642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 7642560 is about 2764.5180411782. The cubic root of 7642560 is about 196.9758359739.

The spelling of 7642560 in words is "seven million, six hundred forty-two thousand, five hundred sixty".