8181632 has 32 divisors (see below), whose sum is σ = 16707600. Its totient is φ = 3988480.

The previous prime is 8181631. The next prime is 8181637. The reversal of 8181632 is 2361818.

It is a tau number, because it is divible by the number of its divisors (32).

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 = 8181595 and 8181604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8181631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4469 + ... + 6027.

Almost surely, 2^8181632 is an apocalyptic number.

8181632 is a gapful number since it is divisible by the number (82) 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 8181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800).

8181632 is an abundant number, since it is smaller than the sum of its proper divisors (8525968).

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

8181632 is a wasteful number, since it uses less digits than its factorization.

8181632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1602 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 8181632 is about 2860.3552226953. The cubic root of 8181632 is about 201.5022874088.

The spelling of 8181632 in words is "eight million, one hundred eighty-one thousand, six hundred thirty-two".