81744000 has 256 divisors, whose sum is σ = 294053760. Its totient is φ = 19968000.

The previous prime is 81743999. The next prime is 81744029. The reversal of 81744000 is 44718.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623935 + ... + 624065.

Almost surely, 2^81744000 is an apocalyptic number.

81744000 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 81744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

81744000 is an abundant number, since it is smaller than the sum of its proper divisors (212309760).

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

81744000 is a wasteful number, since it uses less digits than its factorization.

81744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 81744000 is about 9041.2388531661. The cubic root of 81744000 is about 433.9955686297.

Adding to 81744000 its reverse (44718), we get a palindrome (81788718).

The spelling of 81744000 in words is "eighty-one million, seven hundred forty-four thousand".