81441416 has 64 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 33546240.

The previous prime is 81441383. The next prime is 81441419. The reversal of 81441416 is 61414418.

It is not an unprimeable number, because it can be changed into a prime (81441419) 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, 181160 + ... + 181608.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2^81441416 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 81441416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

81441416 is an abundant number, since it is smaller than the sum of its proper divisors (99998584).

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

81441416 is a wasteful number, since it uses less digits than its factorization.

81441416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 81441416 is about 9024.4897916724. The cubic root of 81441416 is about 433.4594131487.

The spelling of 81441416 in words is "eighty-one million, four hundred forty-one thousand, four hundred sixteen".