91284000 has 96 divisors (see below), whose sum is σ = 299085696. Its totient is φ = 24339200.

The previous prime is 91283989. The next prime is 91284001. The reversal of 91284000 is 48219.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (91284001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8197 + ... + 15803.

It is an arithmetic number, because the mean of its divisors is an integer number (3115476).

Almost surely, 2^91284000 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 91284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149542848).

91284000 is an abundant number, since it is smaller than the sum of its proper divisors (207801696).

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

91284000 is a wasteful number, since it uses less digits than its factorization.

91284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 91284000 is about 9554.2660628643. The cubic root of 91284000 is about 450.2615763163.

The spelling of 91284000 in words is "ninety-one million, two hundred eighty-four thousand".