7663136 has 48 divisors (see below), whose sum is σ = 16493400. Its totient is φ = 3504384.

The previous prime is 7663133. The next prime is 7663147. The reversal of 7663136 is 6313667.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 672400 + 6990736 = 820^2 + 2644^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (7663133) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 70250 + ... + 70358.

Almost surely, 2^7663136 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 7663136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246700).

7663136 is an abundant number, since it is smaller than the sum of its proper divisors (8830264).

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

7663136 is a wasteful number, since it uses less digits than its factorization.

7663136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 124 counting only the distinct ones).

The product of its digits is 13608, while the sum is 32.

The square root of 7663136 is about 2768.2369840749. The cubic root of 7663136 is about 197.1524496988.

It can be divided in two parts, 76631 and 36, that added together give a palindrome (76667).

The spelling of 7663136 in words is "seven million, six hundred sixty-three thousand, one hundred thirty-six".