81242832 has 80 divisors (see below), whose sum is σ = 230699520. Its totient is φ = 24432000.

The previous prime is 81242827. The next prime is 81242839. The reversal of 81242832 is 23824218.

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

It is a self number, because there is not a number n which added to its sum of digits gives 81242832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81242839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79219 + ... + 80237.

It is an arithmetic number, because the mean of its divisors is an integer number (2883744).

Almost surely, 2^81242832 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 81242832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115349760).

81242832 is an abundant number, since it is smaller than the sum of its proper divisors (149456688).

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

81242832 is a wasteful number, since it uses less digits than its factorization.

81242832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1186 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 81242832 is about 9013.4805707895. The cubic root of 81242832 is about 433.1068154715.

The spelling of 81242832 in words is "eighty-one million, two hundred forty-two thousand, eight hundred thirty-two".