91333920 has 96 divisors (see below), whose sum is σ = 300246912. Its totient is φ = 23293952.

The previous prime is 91333919. The next prime is 91333933. The reversal of 91333920 is 2933319.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 6904 + ... + 15176.

It is an arithmetic number, because the mean of its divisors is an integer number (3127572).

Almost surely, 2^91333920 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 91333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150123456).

91333920 is an abundant number, since it is smaller than the sum of its proper divisors (208912992).

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

91333920 is a wasteful number, since it uses less digits than its factorization.

91333920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 91333920 is about 9556.8781513630. The cubic root of 91333920 is about 450.3436387509.

The spelling of 91333920 in words is "ninety-one million, three hundred thirty-three thousand, nine hundred twenty".