81682016 has 48 divisors (see below), whose sum is σ = 180732384. Its totient is φ = 36056064.

The previous prime is 81681961. The next prime is 81682031. The reversal of 81682016 is 61028618.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 5300 + ... + 13836.

It is an arithmetic number, because the mean of its divisors is an integer number (3765258).

Almost surely, 2^81682016 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 81682016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90366192).

81682016 is an abundant number, since it is smaller than the sum of its proper divisors (99050368).

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

81682016 is a wasteful number, since it uses less digits than its factorization.

81682016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8583 (or 8575 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 81682016 is about 9037.8103542838. The cubic root of 81682016 is about 433.8858456590.

The spelling of 81682016 in words is "eighty-one million, six hundred eighty-two thousand, sixteen".