7638741 has 48 divisors (see below), whose sum is σ = 13178880. Its totient is φ = 4212000.

The previous prime is 7638733. The next prime is 7638767. The reversal of 7638741 is 1478367.

It is not a de Polignac number, because 7638741 - 2³ = 7638733 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 7638696 and 7638705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58246 + ... + 58376.

It is an arithmetic number, because the mean of its divisors is an integer number (274560).

Almost surely, 2^7638741 is an apocalyptic number.

It is an amenable number.

7638741 is a deficient number, since it is larger than the sum of its proper divisors (5540139).

7638741 is a wasteful number, since it uses less digits than its factorization.

7638741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 7638741 is about 2763.8272377267. The cubic root of 7638741 is about 196.9430207892.

The spelling of 7638741 in words is "seven million, six hundred thirty-eight thousand, seven hundred forty-one".