81396000 has 576 divisors, whose sum is σ = 367960320. Its totient is φ = 16588800.

The previous prime is 81395999. The next prime is 81396023. The reversal of 81396000 is 69318.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4283991 + ... + 4284009.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^81396000 is an apocalyptic number.

81396000 is a gapful number since it is divisible by the number (80) 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 81396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

81396000 is an abundant number, since it is smaller than the sum of its proper divisors (286564320).

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

81396000 is a wasteful number, since it uses less digits than its factorization.

81396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 81396000 is about 9021.9731766394. The cubic root of 81396000 is about 433.3788249414.

The spelling of 81396000 in words is "eighty-one million, three hundred ninety-six thousand".