81902016 has 280 divisors, whose sum is σ = 289637216. Its totient is φ = 22394880.

The previous prime is 81901991. The next prime is 81902017. The reversal of 81902016 is 61020918.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81902017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1342626 + ... + 1342686.

Almost surely, 2^81902016 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 81902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144818608).

81902016 is an abundant number, since it is smaller than the sum of its proper divisors (207735200).

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

81902016 is a wasteful number, since it uses less digits than its factorization.

81902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 81902016 is about 9049.9732596290. The cubic root of 81902016 is about 434.2750350230.

The spelling of 81902016 in words is "eighty-one million, nine hundred two thousand, sixteen".