8632368 has 60 divisors (see below), whose sum is σ = 24379888. Its totient is φ = 2851200.

The previous prime is 8632367. The next prime is 8632381.

8632368 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8632361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21546 + ... + 21942.

Almost surely, 2^8632368 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 8632368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189944).

8632368 is an abundant number, since it is smaller than the sum of its proper divisors (15747520).

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

8632368 is a wasteful number, since it uses less digits than its factorization.

8632368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 553 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 8632368 is about 2938.0891749571. The cubic root of 8632368 is about 205.1366766523.

The spelling of 8632368 in words is "eight million, six hundred thirty-two thousand, three hundred sixty-eight".