7957638 has 48 divisors (see below), whose sum is σ = 19184256. Its totient is φ = 2367360.

The previous prime is 7957619. The next prime is 7957667. The reversal of 7957638 is 8367597.

It is a happy number.

7957638 is a `hidden beast` number, since 7 + 9 + 5 + 7 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7957593 and 7957602.

It is a congruent number.

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, 6706 + ... + 7802.

It is an arithmetic number, because the mean of its divisors is an integer number (399672).

Almost surely, 2^7957638 is an apocalyptic number.

7957638 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7957638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592128).

7957638 is an abundant number, since it is smaller than the sum of its proper divisors (11226618).

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

7957638 is a wasteful number, since it uses less digits than its factorization.

7957638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1146 counting only the distinct ones).

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

The square root of 7957638 is about 2820.9285705243. The cubic root of 7957638 is about 199.6463583900.

The spelling of 7957638 in words is "seven million, nine hundred fifty-seven thousand, six hundred thirty-eight".