81338000 has 80 divisors (see below), whose sum is σ = 199939584. Its totient is φ = 31996800.

The previous prime is 81337957. The next prime is 81338009. The reversal of 81338000 is 83318.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (81338009) 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, 133697 + ... + 134303.

Almost surely, 2^81338000 is an apocalyptic number.

81338000 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 81338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99969792).

81338000 is an abundant number, since it is smaller than the sum of its proper divisors (118601584).

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

81338000 is a wasteful number, since it uses less digits than its factorization.

81338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 81338000 is about 9018.7582293795. The cubic root of 81338000 is about 433.2758635159.

The spelling of 81338000 in words is "eighty-one million, three hundred thirty-eight thousand".