91659360 has 192 divisors, whose sum is σ = 320144832. Its totient is φ = 21897216.

The previous prime is 91659349. The next prime is 91659361. The reversal of 91659360 is 6395619.

91659360 = 66² + 67² + ... + 650².

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91659361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 230682 + ... + 231078.

It is an arithmetic number, because the mean of its divisors is an integer number (1667421).

Almost surely, 2^91659360 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 91659360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160072416).

91659360 is an abundant number, since it is smaller than the sum of its proper divisors (228485472).

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

91659360 is a wasteful number, since it uses less digits than its factorization.

91659360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 91659360 is about 9573.8894917374. The cubic root of 91659360 is about 450.8778911736.

The spelling of 91659360 in words is "ninety-one million, six hundred fifty-nine thousand, three hundred sixty".