7638642 has 48 divisors (see below), whose sum is σ = 18240768. Its totient is φ = 2291040.

The previous prime is 7638641. The next prime is 7638643. The reversal of 7638642 is 2468367.

7638642 is a `hidden beast` number, since 7 + 6 + 3 + 8 + 642 = 666.

7638642 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7638641) and next prime (7638643).

It is a d-powerful number, because it can be written as 7⁶ + 6⁵ + 3¹⁴ + 8 + 6⁸ + 4¹⁰ + 2¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 7638597 and 7638606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34143 + ... + 34365.

It is an arithmetic number, because the mean of its divisors is an integer number (380016).

Almost surely, 2^7638642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120384).

7638642 is an abundant number, since it is smaller than the sum of its proper divisors (10602126).

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

7638642 is a wasteful number, since it uses less digits than its factorization.

7638642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 7638642 is about 2763.8093277214. The cubic root of 7638642 is about 196.9421699752.

The spelling of 7638642 in words is "seven million, six hundred thirty-eight thousand, six hundred forty-two".