91936000 has 216 divisors, whose sum is σ = 262584504. Its totient is φ = 31948800.

The previous prime is 91935997. The next prime is 91936001. The reversal of 91936000 is 63919.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 82301184 + 9634816 = 9072^2 + 3104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 91936000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91936001) 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, 5407992 + ... + 5408008.

It is an arithmetic number, because the mean of its divisors is an integer number (1215669).

Almost surely, 2^91936000 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 91936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131292252).

91936000 is an abundant number, since it is smaller than the sum of its proper divisors (170648504).

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

91936000 is a wasteful number, since it uses less digits than its factorization.

91936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 91936000 is about 9588.3262355846. The cubic root of 91936000 is about 451.3310385121.

Adding to 91936000 its reverse (63919), we get a palindrome (91999919).

The spelling of 91936000 in words is "ninety-one million, nine hundred thirty-six thousand".