7649232 has 80 divisors (see below), whose sum is σ = 20921280. Its totient is φ = 2405376.

The previous prime is 7649231. The next prime is 7649237. The reversal of 7649232 is 2329467.

It is a junction number, because it is equal to n+sod(n) for n = 7649193 and 7649202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7649231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104748 + ... + 104820.

It is an arithmetic number, because the mean of its divisors is an integer number (261516).

Almost surely, 2^7649232 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 7649232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460640).

7649232 is an abundant number, since it is smaller than the sum of its proper divisors (13272048).

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

7649232 is a wasteful number, since it uses less digits than its factorization.

7649232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 7649232 is about 2765.7244982102. The cubic root of 7649232 is about 197.0331396575.

The spelling of 7649232 in words is "seven million, six hundred forty-nine thousand, two hundred thirty-two".