7642836 has 42 divisors (see below), whose sum is σ = 20060922. Its totient is φ = 2546640.

The previous prime is 7642829. The next prime is 7642837. The reversal of 7642836 is 6382467.

7642836 is a `hidden beast` number, since 7 + 642 + 8 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7290000 + 352836 = 2700^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7⁸ + 6⁴ + 4⁸ + 2¹⁷ + 8³ + 3 + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 7642836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7642837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1606 + ... + 4226.

It is an arithmetic number, because the mean of its divisors is an integer number (477641).

Almost surely, 2^7642836 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 7642836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10030461).

7642836 is an abundant number, since it is smaller than the sum of its proper divisors (12418086).

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

7642836 is a wasteful number, since it uses less digits than its factorization.

7642836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2626 counting only the distinct ones).

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

The square root of 7642836 is about 2764.5679590128. The cubic root of 7642836 is about 196.9782071111.

It can be divided in two parts, 764 and 2836, that added together give a square (3600 = 60²).

The spelling of 7642836 in words is "seven million, six hundred forty-two thousand, eight hundred thirty-six".