7639938 has 48 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 2376000.

The previous prime is 7639927. The next prime is 7639993. The reversal of 7639938 is 8399367.

It is a happy number.

7639938 is a `hidden beast` number, since 7 + 639 + 9 + 3 + 8 = 666.

It is a super-4 number, since 4×7639938⁴ (a number of 29 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7639893 and 7639902.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30313 + ... + 30563.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^7639938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7639938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

7639938 is an abundant number, since it is smaller than the sum of its proper divisors (10050462).

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

7639938 is a wasteful number, since it uses less digits than its factorization.

7639938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 364 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 7639938 is about 2764.0437767879. The cubic root of 7639938 is about 196.9533073222.

It can be divided in two parts, 763 and 9938, that added together give a palindrome (10701).

The spelling of 7639938 in words is "seven million, six hundred thirty-nine thousand, nine hundred thirty-eight".