7641630 has 48 divisors (see below), whose sum is σ = 20015424. Its totient is φ = 2022720.

The previous prime is 7641611. The next prime is 7641637. The reversal of 7641630 is 361467.

It is a junction number, because it is equal to n+sod(n) for n = 7641594 and 7641603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7641637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17515 + ... + 17945.

It is an arithmetic number, because the mean of its divisors is an integer number (416988).

Almost surely, 2^7641630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7641630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007712).

7641630 is an abundant number, since it is smaller than the sum of its proper divisors (12373794).

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

7641630 is a wasteful number, since it uses less digits than its factorization.

7641630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7641630 is about 2764.3498331434. The cubic root of 7641630 is about 196.9678458519.

The spelling of 7641630 in words is "seven million, six hundred forty-one thousand, six hundred thirty".