91616 has 24 divisors (see below), whose sum is σ = 206640. Its totient is φ = 39168.

The previous prime is 91591. The next prime is 91621. The reversal of 91616 is 61619.

It is a junction number, because it is equal to n+sod(n) for n = 91591 and 91600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (8610).

2⁹¹⁶¹⁶ 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 91616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103320).

91616 is an abundant number, since it is smaller than the sum of its proper divisors (115024).

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

91616 is a wasteful number, since it uses less digits than its factorization.

91616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its digits is 324, while the sum is 23.

The square root of 91616 is about 302.6813505983. The cubic root of 91616 is about 45.0806783146.

It can be divided in two parts, 91 and 616, that added together give a palindrome (707).

The spelling of 91616 in words is "ninety-one thousand, six hundred sixteen".