81426600 has 192 divisors, whose sum is σ = 297302400. Its totient is φ = 20413440.

The previous prime is 81426593. The next prime is 81426613. The reversal of 81426600 is 662418.

81426600 is nontrivially palindromic in base 14.

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

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 47 ways as a sum of consecutive naturals, for example, 91357 + ... + 92243.

It is an arithmetic number, because the mean of its divisors is an integer number (1548450).

Almost surely, 2^81426600 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 81426600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148651200).

81426600 is an abundant number, since it is smaller than the sum of its proper divisors (215875800).

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

81426600 is a wasteful number, since it uses less digits than its factorization.

81426600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 914 counting only the distinct ones).

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

The square root of 81426600 is about 9023.6688769037. The cubic root of 81426600 is about 433.4331262607.

The spelling of 81426600 in words is "eighty-one million, four hundred twenty-six thousand, six hundred".