92016 has 50 divisors (see below), whose sum is σ = 270072. Its totient is φ = 30240.

The previous prime is 92009. The next prime is 92033. The reversal of 92016 is 61029.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 92016.

It is a congruent number.

It is an unprimeable number.

92016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1261 + ... + 1331.

2⁹²⁰¹⁶ 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 92016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135036).

92016 is an abundant number, since it is smaller than the sum of its proper divisors (178056).

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

92016 is a wasteful number, since it uses less digits than its factorization.

92016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 92016 is about 303.3413918343. The cubic root of 92016 is about 45.1461912218.

It can be divided in two parts, 9 and 2016, that added together give a square (2025 = 45²).

The spelling of 92016 in words is "ninety-two thousand, sixteen".