8687874000 has 320 divisors, whose sum is σ = 31146006528. Its totient is φ = 2068992000.

The previous prime is 8687873917. The next prime is 8687874007. The reversal of 8687874000 is 4787868.

8687874000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8687874007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2416204 + ... + 2419796.

Almost surely, 2^8687874000 is an apocalyptic number.

8687874000 is a gapful number since it is divisible by the number (80) 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 8687874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573003264).

8687874000 is an abundant number, since it is smaller than the sum of its proper divisors (22458132528).

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

8687874000 is a wasteful number, since it uses less digits than its factorization.

8687874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 8687874000 is about 93208.7656822039. The cubic root of 8687874000 is about 2055.7541291270.

The spelling of 8687874000 in words is "eight billion, six hundred eighty-seven million, eight hundred seventy-four thousand".