8673632 has 48 divisors (see below), whose sum is σ = 19114704. Its totient is φ = 3840000.

The previous prime is 8673611. The next prime is 8673677. The reversal of 8673632 is 2363768.

It is a junction number, because it is equal to n+sod(n) for n = 8673592 and 8673601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14132 + ... + 14732.

It is an arithmetic number, because the mean of its divisors is an integer number (398223).

Almost surely, 2^8673632 is an apocalyptic number.

8673632 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8673632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557352).

8673632 is an abundant number, since it is smaller than the sum of its proper divisors (10441072).

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

8673632 is a wasteful number, since it uses less digits than its factorization.

8673632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 8673632 is about 2945.1030542241. The cubic root of 8673632 is about 205.4630184674.

Multiplying 8673632 by its sum of digits (35), we get a triangular number (303577120 = T₂₄₆₄₀).

It can be divided in two parts, 86736 and 32, that added together give a palindrome (86768).

The spelling of 8673632 in words is "eight million, six hundred seventy-three thousand, six hundred thirty-two".