91289016 has 96 divisors (see below), whose sum is σ = 304318560. Its totient is φ = 24074496.

The previous prime is 91288987. The next prime is 91289021. The reversal of 91289016 is 61098219.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415 + ... + 13518.

It is an arithmetic number, because the mean of its divisors is an integer number (3169985).

Almost surely, 2^91289016 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 91289016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152159280).

91289016 is an abundant number, since it is smaller than the sum of its proper divisors (213029544).

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

91289016 is a wasteful number, since it uses less digits than its factorization.

91289016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13965 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 91289016 is about 9554.5285597982. The cubic root of 91289016 is about 450.2698233647.

The spelling of 91289016 in words is "ninety-one million, two hundred eighty-nine thousand, sixteen".