7681632 has 144 divisors (see below), whose sum is σ = 24820992. Its totient is φ = 2069760.

The previous prime is 7681631. The next prime is 7681651. The reversal of 7681632 is 2361867.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7681593 and 7681602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7681631) 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 23 ways as a sum of consecutive naturals, for example, 108157 + ... + 108227.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

Almost surely, 2^7681632 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 7681632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496).

7681632 is an abundant number, since it is smaller than the sum of its proper divisors (17139360).

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

7681632 is a wasteful number, since it uses less digits than its factorization.

7681632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 7681632 is about 2771.5757251066. The cubic root of 7681632 is about 197.3109401584.

The spelling of 7681632 in words is "seven million, six hundred eighty-one thousand, six hundred thirty-two".