8673642 has 36 divisors (see below), whose sum is σ = 19544226. Its totient is φ = 2886840.

The previous prime is 8673611. The next prime is 8673677. The reversal of 8673642 is 2463768.

8673642 is a `hidden beast` number, since 8 + 6 + 7 + 3 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6305121 + 2368521 = 2511^2 + 1539^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 8 + 6³ + 7² + 3⁶ + 6⁷ + 4⁶ + 2²³ .

It is a junction number, because it is equal to n+sod(n) for n = 8673597 and 8673606.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12792 + ... + 13452.

Almost surely, 2^8673642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8673642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9772113).

8673642 is an abundant number, since it is smaller than the sum of its proper divisors (10870584).

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

8673642 is an frugal number, since it uses more digits than its factorization.

8673642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 666 counting only the distinct ones).

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

The square root of 8673642 is about 2945.1047519571. The cubic root of 8673642 is about 205.4630974282.

The spelling of 8673642 in words is "eight million, six hundred seventy-three thousand, six hundred forty-two".