91820616 has 64 divisors (see below), whose sum is σ = 245668800. Its totient is φ = 28512000.

The previous prime is 91820591. The next prime is 91820627. The reversal of 91820616 is 61602819.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26166 + ... + 29466.

It is an arithmetic number, because the mean of its divisors is an integer number (3838575).

Almost surely, 2^91820616 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 91820616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122834400).

91820616 is an abundant number, since it is smaller than the sum of its proper divisors (153848184).

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

91820616 is a wasteful number, since it uses less digits than its factorization.

91820616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 91820616 is about 9582.3074465392. The cubic root of 91820616 is about 451.1421455799.

The spelling of 91820616 in words is "ninety-one million, eight hundred twenty thousand, six hundred sixteen".