81823392 has 192 divisors, whose sum is σ = 277724160. Its totient is φ = 22954752.

The previous prime is 81823369. The next prime is 81823393. The reversal of 81823392 is 29332818.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (81823393) 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, 501903 + ... + 502065.

It is an arithmetic number, because the mean of its divisors is an integer number (1446480).

Almost surely, 2^81823392 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 81823392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

81823392 is an abundant number, since it is smaller than the sum of its proper divisors (195900768).

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

81823392 is a wasteful number, since it uses less digits than its factorization.

81823392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 81823392 is about 9045.6283363844. The cubic root of 81823392 is about 434.1360259411.

It can be divided in two parts, 81823 and 392, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 81823392 in words is "eighty-one million, eight hundred twenty-three thousand, three hundred ninety-two".