81093120 has 80 divisors (see below), whose sum is σ = 259269120. Its totient is φ = 21622784.

The previous prime is 81093119. The next prime is 81093137. The reversal of 81093120 is 2139018.

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

It is a super-2 number, since 2×81093120² = 13152188222668800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2401 + ... + 12959.

It is an arithmetic number, because the mean of its divisors is an integer number (3240864).

Almost surely, 2^81093120 is an apocalyptic number.

81093120 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 81093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129634560).

81093120 is an abundant number, since it is smaller than the sum of its proper divisors (178176000).

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

81093120 is a wasteful number, since it uses less digits than its factorization.

81093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585 (or 10569 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 81093120 is about 9005.1718473331. The cubic root of 81093120 is about 432.8406128785.

The spelling of 81093120 in words is "eighty-one million, ninety-three thousand, one hundred twenty".