81302832 has 160 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 24157440.

The previous prime is 81302831. The next prime is 81302833. The reversal of 81302832 is 23820318.

It is an interprime number because it is at equal distance from previous prime (81302831) and next prime (81302833).

It is a super-2 number, since 2×81302832² = 13220300982440448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 81302796 and 81302805.

It is not an unprimeable number, because it can be changed into a prime (81302831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173863 + ... + 174329.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^81302832 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 81302832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

81302832 is an abundant number, since it is smaller than the sum of its proper divisors (178680528).

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

81302832 is a wasteful number, since it uses less digits than its factorization.

81302832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 81302832 is about 9016.8083044944. The cubic root of 81302832 is about 433.2134095495.

The spelling of 81302832 in words is "eighty-one million, three hundred two thousand, eight hundred thirty-two".