91893120 has 256 divisors, whose sum is σ = 337824000. Its totient is φ = 21012480.

The previous prime is 91893097. The next prime is 91893127. The reversal of 91893120 is 2139819.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91893127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401166 + ... + 401394.

It is an arithmetic number, because the mean of its divisors is an integer number (1319625).

Almost surely, 2^91893120 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 91893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168912000).

91893120 is an abundant number, since it is smaller than the sum of its proper divisors (245930880).

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

91893120 is a wasteful number, since it uses less digits than its factorization.

91893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 91893120 is about 9586.0899223823. The cubic root of 91893120 is about 451.2608589504.

The spelling of 91893120 in words is "ninety-one million, eight hundred ninety-three thousand, one hundred twenty".