8493642 has 48 divisors (see below), whose sum is σ = 19990152. Its totient is φ = 2595840.

The previous prime is 8493637. The next prime is 8493649. The reversal of 8493642 is 2463948.

It is a happy number.

8493642 is a `hidden beast` number, since 8 + 4 + 9 + 3 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8242641 + 251001 = 2871^2 + 501^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8493597 and 8493606.

It is not an unprimeable number, because it can be changed into a prime (8493649) 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, 12208 + ... + 12884.

Almost surely, 2^8493642 is an apocalyptic number.

8493642 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8493642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995076).

8493642 is an abundant number, since it is smaller than the sum of its proper divisors (11496510).

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

8493642 is a wasteful number, since it uses less digits than its factorization.

8493642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 740 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 8493642 is about 2914.3853554395. The cubic root of 8493642 is about 204.0318577698.

The spelling of 8493642 in words is "eight million, four hundred ninety-three thousand, six hundred forty-two".