81411000 has 128 divisors (see below), whose sum is σ = 277205760. Its totient is φ = 19728000.

The previous prime is 81410999. The next prime is 81411013. The reversal of 81411000 is 11418.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31767 + ... + 34233.

It is an arithmetic number, because the mean of its divisors is an integer number (2165670).

Almost surely, 2^81411000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138602880).

81411000 is an abundant number, since it is smaller than the sum of its proper divisors (195794760).

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

81411000 is a wasteful number, since it uses less digits than its factorization.

81411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 81411000 is about 9022.8044420790. The cubic root of 81411000 is about 433.4054449354.

Adding to 81411000 its reverse (11418), we get a palindrome (81422418).

The spelling of 81411000 in words is "eighty-one million, four hundred eleven thousand".