81156096 has 288 divisors, whose sum is σ = 291301920. Its totient is φ = 21233664.

The previous prime is 81156077. The next prime is 81156107. The reversal of 81156096 is 69065118.

81156096 is a `hidden beast` number, since 8 + 1 + 1 + 560 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×81156096² = 13172623835922432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81156096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193390 + ... + 2193426.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 2^81156096 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 81156096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145650960).

81156096 is an abundant number, since it is smaller than the sum of its proper divisors (210145824).

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

81156096 is a wasteful number, since it uses less digits than its factorization.

81156096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 81156096 is about 9008.6678260440. The cubic root of 81156096 is about 432.9526302615.

The spelling of 81156096 in words is "eighty-one million, one hundred fifty-six thousand, ninety-six".