8987686400 has 360 divisors, whose sum is σ = 28006384560. Its totient is φ = 2797977600.

The previous prime is 8987686399. The next prime is 8987686403. The reversal of 8987686400 is 46867898.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8987686403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10841186 + ... + 10842014.

Almost surely, 2^8987686400 is an apocalyptic number.

8987686400 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 8987686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003192280).

8987686400 is an abundant number, since it is smaller than the sum of its proper divisors (19018698160).

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

8987686400 is a wasteful number, since it uses less digits than its factorization.

8987686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The square root of 8987686400 is about 94803.4092213988. The cubic root of 8987686400 is about 2079.1347485985.

The spelling of 8987686400 in words is "eight billion, nine hundred eighty-seven million, six hundred eighty-six thousand, four hundred".