7975638 has 64 divisors (see below), whose sum is σ = 20044800. Its totient is φ = 2328480.

The previous prime is 7975637. The next prime is 7975651. The reversal of 7975638 is 8365797.

It is a happy number.

7975638 is a `hidden beast` number, since 7 + 9 + 7 + 5 + 638 = 666.

It is a super-2 number, since 2×7975638² = 127221603014088, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7975593 and 7975602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7975633) 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, 16995 + ... + 17457.

It is an arithmetic number, because the mean of its divisors is an integer number (313200).

Almost surely, 2^7975638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7975638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10022400).

7975638 is an abundant number, since it is smaller than the sum of its proper divisors (12069162).

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

7975638 is a wasteful number, since it uses less digits than its factorization.

7975638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 7975638 is about 2824.1172071994. The cubic root of 7975638 is about 199.7967769051.

The spelling of 7975638 in words is "seven million, nine hundred seventy-five thousand, six hundred thirty-eight".