7643520 has 96 divisors (see below), whose sum is σ = 26413920. Its totient is φ = 2036736.

The previous prime is 7643473. The next prime is 7643533. The reversal of 7643520 is 253467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5097 + ... + 6423.

It is an arithmetic number, because the mean of its divisors is an integer number (275145).

Almost surely, 2^7643520 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 7643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13206960).

7643520 is an abundant number, since it is smaller than the sum of its proper divisors (18770400).

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

7643520 is a wasteful number, since it uses less digits than its factorization.

7643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7643520 is about 2764.6916645442. The cubic root of 7643520 is about 196.9840831618.

Adding to 7643520 its reverse (253467), we get a palindrome (7896987).

The spelling of 7643520 in words is "seven million, six hundred forty-three thousand, five hundred twenty".