91820200 has 48 divisors (see below), whose sum is σ = 215728380. Its totient is φ = 36341760.

The previous prime is 91820159. The next prime is 91820219. The reversal of 91820200 is 202819.

It can be written as a sum of positive squares in 6 ways, for example, as 16859236 + 74960964 = 4106^2 + 8658^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17034 + ... + 21766.

Almost surely, 2^91820200 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 91820200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107864190).

91820200 is an abundant number, since it is smaller than the sum of its proper divisors (123908180).

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

91820200 is a wasteful number, since it uses less digits than its factorization.

91820200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 91820200 is about 9582.2857398431. The cubic root of 91820200 is about 451.1414642680.

The spelling of 91820200 in words is "ninety-one million, eight hundred twenty thousand, two hundred".