7627640 has 32 divisors (see below), whose sum is σ = 17584560. Its totient is φ = 2976000.

The previous prime is 7627637. The next prime is 7627649. The reversal of 7627640 is 467267.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 7⁶ + 6 + 2⁵ + 7⁸ + 6⁸ + 4⁸ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 7627597 and 7627606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7627649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686 + ... + 3965.

Almost surely, 2^7627640 is an apocalyptic number.

It is an amenable number.

7627640 is an abundant number, since it is smaller than the sum of its proper divisors (9956920).

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

7627640 is a wasteful number, since it uses less digits than its factorization.

7627640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 7627640 is about 2761.8182416662. The cubic root of 7627640 is about 196.8475720587.

The spelling of 7627640 in words is "seven million, six hundred twenty-seven thousand, six hundred forty".