7638660 has 36 divisors (see below), whose sum is σ = 23171148. Its totient is φ = 2036928.

The previous prime is 7638643. The next prime is 7638689. The reversal of 7638660 is 668367.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6081156 + 1557504 = 2466^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21039 + ... + 21398.

It is an arithmetic number, because the mean of its divisors is an integer number (643643).

Almost surely, 2^7638660 is an apocalyptic number.

It is an amenable number.

7638660 is an abundant number, since it is smaller than the sum of its proper divisors (15532488).

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

7638660 is a wasteful number, since it uses less digits than its factorization.

7638660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42452 (or 42447 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7638660 is about 2763.8125840947. The cubic root of 7638660 is about 196.9423246692.

The spelling of 7638660 in words is "seven million, six hundred thirty-eight thousand, six hundred sixty".