81741600 has 108 divisors (see below), whose sum is σ = 288266706. Its totient is φ = 21795840.

The previous prime is 81741599. The next prime is 81741613. The reversal of 81741600 is 614718.

It is a happy number.

81741600 is a `hidden beast` number, since 8 + 17 + 41 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 51667344 + 30074256 = 7188^2 + 5484^2 .

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 17 ways as a sum of consecutive naturals, for example, 1524 + ... + 12876.

Almost surely, 2^81741600 is an apocalyptic number.

81741600 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 81741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144133353).

81741600 is an abundant number, since it is smaller than the sum of its proper divisors (206525106).

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

81741600 is a wasteful number, since it uses less digits than its factorization.

81741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11379 (or 11363 counting only the distinct ones).

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

The square root of 81741600 is about 9041.1061270179. The cubic root of 81741600 is about 433.9913212249.

The spelling of 81741600 in words is "eighty-one million, seven hundred forty-one thousand, six hundred".