91287360 has 168 divisors, whose sum is σ = 325114920. Its totient is φ = 23482368.

The previous prime is 91287349. The next prime is 91287407. The reversal of 91287360 is 6378219.

It can be written as a sum of positive squares in 4 ways, for example, as 34857216 + 56430144 = 5904^2 + 7512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82974 + ... + 84066.

Almost surely, 2^91287360 is an apocalyptic number.

91287360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162557460).

91287360 is an abundant number, since it is smaller than the sum of its proper divisors (233827560).

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

91287360 is a wasteful number, since it uses less digits than its factorization.

91287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 91287360 is about 9554.4418989285. The cubic root of 91287360 is about 450.2671006884.

The spelling of 91287360 in words is "ninety-one million, two hundred eighty-seven thousand, three hundred sixty".