91795200 has 216 divisors, whose sum is σ = 346727808. Its totient is φ = 20951040.

The previous prime is 91795199. The next prime is 91795201. The reversal of 91795200 is 259719.

It is an interprime number because it is at equal distance from previous prime (91795199) and next prime (91795201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91795201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134059 + ... + 134741.

Almost surely, 2^91795200 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 91795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173363904).

91795200 is an abundant number, since it is smaller than the sum of its proper divisors (254932608).

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

91795200 is a wasteful number, since it uses less digits than its factorization.

91795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 91795200 is about 9580.9811606119. The cubic root of 91795200 is about 451.1005162690.

The spelling of 91795200 in words is "ninety-one million, seven hundred ninety-five thousand, two hundred".