8632000 has 112 divisors (see below), whose sum is σ = 23298912. Its totient is φ = 3148800.

The previous prime is 8631979. The next prime is 8632003. The reversal of 8632000 is 2368.

It is a super-2 number, since 2×8632000² = 149022848000000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (8632003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103959 + ... + 104041.

It is an arithmetic number, because the mean of its divisors is an integer number (208026).

Almost surely, 2^8632000 is an apocalyptic number.

8632000 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 8632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649456).

8632000 is an abundant number, since it is smaller than the sum of its proper divisors (14666912).

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

8632000 is a wasteful number, since it uses less digits than its factorization.

8632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 8632000 is about 2938.0265485526. The cubic root of 8632000 is about 205.1337616016.

Adding to 8632000 its reverse (2368), we get a palindrome (8634368).

The spelling of 8632000 in words is "eight million, six hundred thirty-two thousand".