91687600 has 60 divisors (see below), whose sum is σ = 225012384. Its totient is φ = 35887360.

The previous prime is 91687573. The next prime is 91687619. The reversal of 91687600 is 678619.

It is a super-3 number, since 3×91687600³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 91687600.

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 11 ways as a sum of consecutive naturals, for example, 16362 + ... + 21238.

Almost surely, 2^91687600 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 91687600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112506192).

91687600 is an abundant number, since it is smaller than the sum of its proper divisors (133324784).

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

91687600 is a wasteful number, since it uses less digits than its factorization.

91687600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 91687600 is about 9575.3642228377. The cubic root of 91687600 is about 450.9241911704.

The spelling of 91687600 in words is "ninety-one million, six hundred eighty-seven thousand, six hundred".