81319392 has 288 divisors, whose sum is σ = 305061120. Its totient is φ = 19906560.

The previous prime is 81319391. The next prime is 81319397. The reversal of 81319392 is 29391318.

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

It is a super-2 number, since 2×81319392² = 13225687030499328, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81319391) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 421248 + ... + 421440.

It is an arithmetic number, because the mean of its divisors is an integer number (1059240).

Almost surely, 2^81319392 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 81319392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152530560).

81319392 is an abundant number, since it is smaller than the sum of its proper divisors (223741728).

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

81319392 is a wasteful number, since it uses less digits than its factorization.

81319392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 81319392 is about 9017.7265427601. The cubic root of 81319392 is about 433.2428202800.

The spelling of 81319392 in words is "eighty-one million, three hundred nineteen thousand, three hundred ninety-two".