91689648 has 80 divisors (see below), whose sum is σ = 247008000. Its totient is φ = 29272320.

The previous prime is 91689623. The next prime is 91689667. The reversal of 91689648 is 84698619.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 91689648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276843 + ... + 277173.

It is an arithmetic number, because the mean of its divisors is an integer number (3087600).

Almost surely, 2^91689648 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 91689648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123504000).

91689648 is an abundant number, since it is smaller than the sum of its proper divisors (155318352).

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

91689648 is a wasteful number, since it uses less digits than its factorization.

91689648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 91689648 is about 9575.4711633423. The cubic root of 91689648 is about 450.9275485342.

The spelling of 91689648 in words is "ninety-one million, six hundred eighty-nine thousand, six hundred forty-eight".