91416 has 32 divisors (see below), whose sum is σ = 246960. Its totient is φ = 28032.

The previous prime is 91411. The next prime is 91423. The reversal of 91416 is 61419.

It is a junction number, because it is equal to n+sod(n) for n = 91392 and 91401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91411) by changing a digit.

91416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166 + ... + 458.

2⁹¹⁴¹⁶ 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 91416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123480).

91416 is an abundant number, since it is smaller than the sum of its proper divisors (155544).

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

91416 is a wasteful number, since it uses less digits than its factorization.

91416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 91416 is about 302.3507896467. The cubic root of 91416 is about 45.0478503353.

The spelling of 91416 in words is "ninety-one thousand, four hundred sixteen".