81300600 has 216 divisors, whose sum is σ = 288128880. Its totient is φ = 20534400.

The previous prime is 81300533. The next prime is 81300623. The reversal of 81300600 is 600318.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1729777 + ... + 1729823.

It is an arithmetic number, because the mean of its divisors is an integer number (1333930).

Almost surely, 2^81300600 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 81300600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144064440).

81300600 is an abundant number, since it is smaller than the sum of its proper divisors (206828280).

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

81300600 is a wasteful number, since it uses less digits than its factorization.

81300600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 81300600 is about 9016.6845347944. The cubic root of 81300600 is about 433.2094451892.

Adding to 81300600 its reverse (600318), we get a palindrome (81900918).

The spelling of 81300600 in words is "eighty-one million, three hundred thousand, six hundred".