8086632000 has 448 divisors, whose sum is σ = 27935870976. Its totient is φ = 2059622400.

The previous prime is 8086631999. The next prime is 8086632011. The reversal of 8086632000 is 2366808.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75575947 + ... + 75576053.

Almost surely, 2^8086632000 is an apocalyptic number.

8086632000 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 8086632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967935488).

8086632000 is an abundant number, since it is smaller than the sum of its proper divisors (19849238976).

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

8086632000 is a wasteful number, since it uses less digits than its factorization.

8086632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8086632000 is about 89925.7026661455. The cubic root of 8086632000 is about 2007.1934295997.

Adding to 8086632000 its reverse (2366808), we get a palindrome (8088998808).

The spelling of 8086632000 in words is "eight billion, eighty-six million, six hundred thirty-two thousand".