8672832 has 140 divisors (see below), whose sum is σ = 29504640. Its totient is φ = 2467584.

The previous prime is 8672831. The next prime is 8672861. The reversal of 8672832 is 2382768.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 8³ + 6² + 7⁶ + 2¹⁷ + 8⁵ + 3⁷ + 2²³ .

It is not an unprimeable number, because it can be changed into a prime (8672831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36169 + ... + 36407.

Almost surely, 2^8672832 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 8672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752320).

8672832 is an abundant number, since it is smaller than the sum of its proper divisors (20831808).

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

8672832 is a wasteful number, since it uses less digits than its factorization.

8672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8672832 is about 2944.9672324153. The cubic root of 8672832 is about 205.4567014110.

Subtracting from 8672832 its reverse (2382768), we obtain a square (6290064 = 2508²).

The spelling of 8672832 in words is "eight million, six hundred seventy-two thousand, eight hundred thirty-two".