91966016 has 56 divisors (see below), whose sum is σ = 190414656. Its totient is φ = 44029440.

The previous prime is 91966013. The next prime is 91966027. The reversal of 91966016 is 61066919.

It is a super-3 number, since 3×91966016³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (91966013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167855 + ... + 168401.

Almost surely, 2^91966016 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 91966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95207328).

91966016 is an abundant number, since it is smaller than the sum of its proper divisors (98448640).

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

91966016 is a wasteful number, since it uses less digits than its factorization.

91966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 91966016 is about 9589.8913445357. The cubic root of 91966016 is about 451.3801512224.

The spelling of 91966016 in words is "ninety-one million, nine hundred sixty-six thousand, sixteen".