91141600 has 72 divisors (see below), whose sum is σ = 242750088. Its totient is φ = 33139200.

The previous prime is 91141597. The next prime is 91141627. The reversal of 91141600 is 614119.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3622 + ... + 13978.

It is an arithmetic number, because the mean of its divisors is an integer number (3371529).

Almost surely, 2^91141600 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 91141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121375044).

91141600 is an abundant number, since it is smaller than the sum of its proper divisors (151608488).

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

91141600 is a wasteful number, since it uses less digits than its factorization.

91141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388 (or 10375 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 91141600 is about 9546.8109858738. The cubic root of 91141600 is about 450.0273234438.

Adding to 91141600 its reverse (614119), we get a palindrome (91755719).

The spelling of 91141600 in words is "ninety-one million, one hundred forty-one thousand, six hundred".