7638136 has 64 divisors (see below), whose sum is σ = 16783200. Its totient is φ = 3225600.

The previous prime is 7638089. The next prime is 7638143. The reversal of 7638136 is 6318367.

7638136 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7638136² = 116682243108992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104596 + ... + 104668.

Almost surely, 2^7638136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391600).

7638136 is an abundant number, since it is smaller than the sum of its proper divisors (9145064).

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

7638136 is a wasteful number, since it uses less digits than its factorization.

7638136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 7638136 is about 2763.7177858819. The cubic root of 7638136 is about 196.9378212555.

It can be divided in two parts, 763813 and 6, that multiplied together give a triangular number (4582878 = T₃₀₂₇).

The spelling of 7638136 in words is "seven million, six hundred thirty-eight thousand, one hundred thirty-six".