8687952 has 240 divisors, whose sum is σ = 32676480. Its totient is φ = 2156544.

The previous prime is 8687929. The next prime is 8687953. The reversal of 8687952 is 2597868.

Its product of digits (241920) is a multiple of the sum of its prime divisors (42).

It is a junction number, because it is equal to n+sod(n) for n = 8687898 and 8687907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8687953) 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 47 ways as a sum of consecutive naturals, for example, 511048 + ... + 511064.

It is an arithmetic number, because the mean of its divisors is an integer number (136152).

Almost surely, 2^8687952 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 8687952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338240).

8687952 is an abundant number, since it is smaller than the sum of its proper divisors (23988528).

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

8687952 is a wasteful number, since it uses less digits than its factorization.

8687952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 42 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 8687952 is about 2947.5332059198. The cubic root of 8687952 is about 205.5760281317.

The spelling of 8687952 in words is "eight million, six hundred eighty-seven thousand, nine hundred fifty-two".