81738000 has 240 divisors, whose sum is σ = 301766400. Its totient is φ = 20563200.

The previous prime is 81737963. The next prime is 81738001. The reversal of 81738000 is 83718.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×81738000² = 13362201288000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81738001) by changing a digit.

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, 341881 + ... + 342119.

It is an arithmetic number, because the mean of its divisors is an integer number (1257360).

Almost surely, 2^81738000 is an apocalyptic number.

81738000 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 81738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150883200).

81738000 is an abundant number, since it is smaller than the sum of its proper divisors (220028400).

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

81738000 is a wasteful number, since it uses less digits than its factorization.

81738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 81738000 is about 9040.9070341421. The cubic root of 81738000 is about 433.9849499619.

The spelling of 81738000 in words is "eighty-one million, seven hundred thirty-eight thousand".