91195200 has 168 divisors, whose sum is σ = 332597760. Its totient is φ = 24307200.

The previous prime is 91195187. The next prime is 91195201. The reversal of 91195200 is 259119.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91195201) 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 23 ways as a sum of consecutive naturals, for example, 42145 + ... + 44255.

Almost surely, 2^91195200 is an apocalyptic number.

91195200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166298880).

91195200 is an abundant number, since it is smaller than the sum of its proper divisors (241402560).

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

91195200 is a wasteful number, since it uses less digits than its factorization.

91195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 91195200 is about 9549.6177933989. The cubic root of 91195200 is about 450.1155258947.

The spelling of 91195200 in words is "ninety-one million, one hundred ninety-five thousand, two hundred".