81342576 has 160 divisors (see below), whose sum is σ = 274426880. Its totient is φ = 22581504.

The previous prime is 81342563. The next prime is 81342589. The reversal of 81342576 is 67524318.

81342576 is a `hidden beast` number, since 81 + 3 + 4 + 2 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (81342563) and next prime (81342589).

It is a super-2 number, since 2×81342576² = 13233229340631552, 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 81342576.

It is a congruent number.

It is an unprimeable number.

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, 111525 + ... + 112251.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 2^81342576 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 81342576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137213440).

81342576 is an abundant number, since it is smaller than the sum of its proper divisors (193084304).

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

81342576 is a wasteful number, since it uses less digits than its factorization.

81342576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 776 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 81342576 is about 9019.0119192736. The cubic root of 81342576 is about 433.2839885955.

It can be divided in two parts, 81342 and 576, that added together give a palindrome (81918).

The spelling of 81342576 in words is "eighty-one million, three hundred forty-two thousand, five hundred seventy-six".