91678600 has 96 divisors (see below), whose sum is σ = 236000520. Its totient is φ = 32901120.

The previous prime is 91678589. The next prime is 91678627. The reversal of 91678600 is 687619.

It can be written as a sum of positive squares in 12 ways, for example, as 5225796 + 86452804 = 2286^2 + 9298^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 91678600.

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, 95724 + ... + 96676.

Almost surely, 2^91678600 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 91678600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118000260).

91678600 is an abundant number, since it is smaller than the sum of its proper divisors (144321920).

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

91678600 is a wasteful number, since it uses less digits than its factorization.

91678600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1010 counting only the distinct ones).

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

The square root of 91678600 is about 9574.8942552908. The cubic root of 91678600 is about 450.9094365380.

The spelling of 91678600 in words is "ninety-one million, six hundred seventy-eight thousand, six hundred".