8381632 has 56 divisors (see below), whose sum is σ = 19421856. Its totient is φ = 3514368.

The previous prime is 8381627. The next prime is 8381669. The reversal of 8381632 is 2361838.

It is a tau number, because it is divible by the number of its divisors (56).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 8381594 and 8381603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23568 + ... + 23920.

Almost surely, 2^8381632 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 8381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710928).

8381632 is an abundant number, since it is smaller than the sum of its proper divisors (11040224).

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

8381632 is a wasteful number, since it uses less digits than its factorization.

8381632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 8381632 is about 2895.1048340259. The cubic root of 8381632 is about 203.1309952313.

The spelling of 8381632 in words is "eight million, three hundred eighty-one thousand, six hundred thirty-two".