81633000 has 64 divisors (see below), whose sum is σ = 254704320. Its totient is φ = 21768000.

The previous prime is 81632977. The next prime is 81633007. The reversal of 81633000 is 33618.

It is not an unprimeable number, because it can be changed into a prime (81633007) 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, 10606 + ... + 16605.

It is an arithmetic number, because the mean of its divisors is an integer number (3979755).

Almost surely, 2^81633000 is an apocalyptic number.

It is an amenable number.

81633000 is an abundant number, since it is smaller than the sum of its proper divisors (173071320).

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

81633000 is a wasteful number, since it uses less digits than its factorization.

81633000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27235 (or 27221 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 81633000 is about 9035.0982285750. The cubic root of 81633000 is about 433.7990391006.

Adding to 81633000 its reverse (33618), we get a palindrome (81666618).

The spelling of 81633000 in words is "eighty-one million, six hundred thirty-three thousand".