8416632 has 96 divisors (see below), whose sum is σ = 25978320. Its totient is φ = 2257920.

The previous prime is 8416627. The next prime is 8416637. The reversal of 8416632 is 2366148.

It is an interprime number because it is at equal distance from previous prime (8416627) and next prime (8416637).

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

It is a d-powerful number, because it can be written as 8³ + 4² + 1 + 6² + 6⁵ + 3⁹ + 2²³ .

It is a self number, because there is not a number n which added to its sum of digits gives 8416632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8416637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19782 + ... + 20202.

Almost surely, 2^8416632 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 8416632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12989160).

8416632 is an abundant number, since it is smaller than the sum of its proper divisors (17561688).

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

8416632 is a wasteful number, since it uses less digits than its factorization.

8416632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 8416632 is about 2901.1432229382. The cubic root of 8416632 is about 203.4133472309.

The spelling of 8416632 in words is "eight million, four hundred sixteen thousand, six hundred thirty-two".