7638066 has 48 divisors (see below), whose sum is σ = 17760600. Its totient is φ = 2363904.

The previous prime is 7638061. The next prime is 7638073. The reversal of 7638066 is 6608367.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7535025 + 103041 = 2745^2 + 321^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7638066.

It is not an unprimeable number, because it can be changed into a prime (7638061) 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, 33240 + ... + 33468.

Almost surely, 2^7638066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8880300).

7638066 is an abundant number, since it is smaller than the sum of its proper divisors (10122534).

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

7638066 is a wasteful number, since it uses less digits than its factorization.

7638066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 360 counting only the distinct ones).

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

The square root of 7638066 is about 2763.7051217523. The cubic root of 7638066 is about 196.9372196389.

The spelling of 7638066 in words is "seven million, six hundred thirty-eight thousand, sixty-six".