91365200 has 60 divisors (see below), whose sum is σ = 229071648. Its totient is φ = 34953600.

The previous prime is 91365193. The next prime is 91365203. The reversal of 91365200 is 256319.

It is a self number, because there is not a number n which added to its sum of digits gives 91365200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91365203) by changing a digit.

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, 4235 + ... + 14165.

Almost surely, 2^91365200 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 91365200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114535824).

91365200 is an abundant number, since it is smaller than the sum of its proper divisors (137706448).

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

91365200 is a wasteful number, since it uses less digits than its factorization.

91365200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 91365200 is about 9558.5145289422. The cubic root of 91365200 is about 450.3950440455.

The spelling of 91365200 in words is "ninety-one million, three hundred sixty-five thousand, two hundred".