7636842 has 80 divisors (see below), whose sum is σ = 18817920. Its totient is φ = 2305152.

The previous prime is 7636829. The next prime is 7636873. The reversal of 7636842 is 2486367.

Its product of digits (48384) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 7636797 and 7636806.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129409 + ... + 129467.

It is an arithmetic number, because the mean of its divisors is an integer number (235224).

Almost surely, 2^7636842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7636842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408960).

7636842 is an abundant number, since it is smaller than the sum of its proper divisors (11181078).

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

7636842 is a wasteful number, since it uses less digits than its factorization.

7636842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

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

The square root of 7636842 is about 2763.4836710211. The cubic root of 7636842 is about 196.9266993477.

The spelling of 7636842 in words is "seven million, six hundred thirty-six thousand, eight hundred forty-two".