8672508 has 120 divisors (see below), whose sum is σ = 25613280. Its totient is φ = 2540160.

The previous prime is 8672501. The next prime is 8672509. The reversal of 8672508 is 8052768.

8672508 is a `hidden beast` number, since 86 + 72 + 508 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8672501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122113 + ... + 122183.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

Almost surely, 2^8672508 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 8672508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806640).

8672508 is an abundant number, since it is smaller than the sum of its proper divisors (16940772).

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

8672508 is a wasteful number, since it uses less digits than its factorization.

8672508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8672508 is about 2944.9122228005. The cubic root of 8672508 is about 205.4541428926.

It can be divided in two parts, 8672 and 508, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8672508 in words is "eight million, six hundred seventy-two thousand, five hundred eight".