81084016 has 80 divisors (see below), whose sum is σ = 187113024. Its totient is φ = 33656832.

The previous prime is 81083987. The next prime is 81084037. The reversal of 81084016 is 61048018.

81084016 = 178³ + 179³ + ... + 190³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80830 + ... + 81826.

Almost surely, 2^81084016 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 81084016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93556512).

81084016 is an abundant number, since it is smaller than the sum of its proper divisors (106029008).

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

81084016 is a wasteful number, since it uses less digits than its factorization.

81084016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 81084016 is about 9004.6663458454. Note that the first 3 decimals coincide. The cubic root of 81084016 is about 432.8244145113.

The spelling of 81084016 in words is "eighty-one million, eighty-four thousand, sixteen".