8211632 has 80 divisors (see below), whose sum is σ = 19394592. Its totient is φ = 3317760.

The previous prime is 8211631. The next prime is 8211641. The reversal of 8211632 is 2361128.

It is a junction number, because it is equal to n+sod(n) for n = 8211598 and 8211607.

It is not an unprimeable number, because it can be changed into a prime (8211631) 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, 84608 + ... + 84704.

Almost surely, 2^8211632 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 8211632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9697296).

8211632 is an abundant number, since it is smaller than the sum of its proper divisors (11182960).

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

8211632 is a wasteful number, since it uses less digits than its factorization.

8211632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 8211632 is about 2865.5945281913. The cubic root of 8211632 is about 201.7482731751.

The spelling of 8211632 in words is "eight million, two hundred eleven thousand, six hundred thirty-two".