91411200 has 324 divisors, whose sum is σ = 350402920. Its totient is φ = 23316480.

The previous prime is 91411189. The next prime is 91411207. The reversal of 91411200 is 211419.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (91411207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3974389 + ... + 3974411.

Almost surely, 2^91411200 is an apocalyptic number.

91411200 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 91411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175201460).

91411200 is an abundant number, since it is smaller than the sum of its proper divisors (258991720).

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

91411200 is a wasteful number, since it uses less digits than its factorization.

91411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 91411200 is about 9560.9204577802. The cubic root of 91411200 is about 450.4706187573.

Adding to 91411200 its reverse (211419), we get a palindrome (91622619).

The spelling of 91411200 in words is "ninety-one million, four hundred eleven thousand, two hundred".