81834300 has 90 divisors (see below), whose sum is σ = 265300728. Its totient is φ = 21820320.

The previous prime is 81834287. The next prime is 81834301. The reversal of 81834300 is 343818.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81834301) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3049 + ... + 13151.

Almost surely, 2^81834300 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 81834300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132650364).

81834300 is an abundant number, since it is smaller than the sum of its proper divisors (183466428).

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

81834300 is a wasteful number, since it uses less digits than its factorization.

81834300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10129 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 81834300 is about 9046.2312594804. The cubic root of 81834300 is about 434.1553168604.

The spelling of 81834300 in words is "eighty-one million, eight hundred thirty-four thousand, three hundred".