7643538 has 64 divisors (see below), whose sum is σ = 19749120. Its totient is φ = 2146176.

The previous prime is 7643533. The next prime is 7643539. The reversal of 7643538 is 8353467.

It is a happy number.

7643538 is a `hidden beast` number, since 7 + 643 + 5 + 3 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (7643533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27456 + ... + 27732.

It is an arithmetic number, because the mean of its divisors is an integer number (308580).

Almost surely, 2^7643538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7643538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9874560).

7643538 is an abundant number, since it is smaller than the sum of its proper divisors (12105582).

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

7643538 is a wasteful number, since it uses less digits than its factorization.

7643538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 7643538 is about 2764.6949198781. The cubic root of 7643538 is about 196.9842377900.

It can be divided in two parts, 7 and 643538, that added together give a triangular number (643545 = T₁₁₃₄).

The spelling of 7643538 in words is "seven million, six hundred forty-three thousand, five hundred thirty-eight".