7632560 has 80 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 2734080.

The previous prime is 7632533. The next prime is 7632563. The reversal of 7632560 is 652367.

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

It is a super-3 number, since 3×7632560³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7632563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42551 + ... + 42729.

It is an arithmetic number, because the mean of its divisors is an integer number (246078).

Almost surely, 2^7632560 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 7632560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

7632560 is an abundant number, since it is smaller than the sum of its proper divisors (12053680).

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

7632560 is a wasteful number, since it uses less digits than its factorization.

7632560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 7632560 is about 2762.7088156373. The cubic root of 7632560 is about 196.8898866714.

It can be divided in two parts, 7632 and 560, that added together give a 13-th power (8192 = 2¹³).

The spelling of 7632560 in words is "seven million, six hundred thirty-two thousand, five hundred sixty".