81168000 has 256 divisors, whose sum is σ = 286416000. Its totient is φ = 20275200.

The previous prime is 81167971. The next prime is 81168001. The reversal of 81168000 is 86118.

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

It is not an unprimeable number, because it can be changed into a prime (81168001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911956 + ... + 912044.

Almost surely, 2^81168000 is an apocalyptic number.

81168000 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 81168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

81168000 is an abundant number, since it is smaller than the sum of its proper divisors (205248000).

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

81168000 is a wasteful number, since it uses less digits than its factorization.

81168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 81168000 is about 9009.3284988394. The cubic root of 81168000 is about 432.9737977662.

The spelling of 81168000 in words is "eighty-one million, one hundred sixty-eight thousand".