91393120 has 96 divisors (see below), whose sum is σ = 265785408. Its totient is φ = 28919808.

The previous prime is 91393073. The next prime is 91393129. The reversal of 91393120 is 2139319.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91393129) 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 15 ways as a sum of consecutive naturals, for example, 11422 + ... + 17698.

It is an arithmetic number, because the mean of its divisors is an integer number (2768598).

Almost surely, 2^91393120 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 91393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132892704).

91393120 is an abundant number, since it is smaller than the sum of its proper divisors (174392288).

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

91393120 is a wasteful number, since it uses less digits than its factorization.

91393120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6304 counting only the distinct ones).

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

The square root of 91393120 is about 9559.9748953645. The cubic root of 91393120 is about 450.4409176346.

The spelling of 91393120 in words is "ninety-one million, three hundred ninety-three thousand, one hundred twenty".