81955328 has 80 divisors (see below), whose sum is σ = 201653760. Its totient is φ = 32403456.

The previous prime is 81955297. The next prime is 81955343. The reversal of 81955328 is 82355918.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45713 + ... + 47471.

It is an arithmetic number, because the mean of its divisors is an integer number (2520672).

Almost surely, 2^81955328 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 81955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100826880).

81955328 is an abundant number, since it is smaller than the sum of its proper divisors (119698432).

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

81955328 is a wasteful number, since it uses less digits than its factorization.

81955328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1781 counting only the distinct ones).

The product of its digits is 86400, while the sum is 41.

The square root of 81955328 is about 9052.9182035408. The cubic root of 81955328 is about 434.3692412880.

The spelling of 81955328 in words is "eighty-one million, nine hundred fifty-five thousand, three hundred twenty-eight".