91164580 has 48 divisors (see below), whose sum is σ = 206874864. Its totient is φ = 33546240.

The previous prime is 91164551. The next prime is 91164581. The reversal of 91164580 is 8546119.

It can be written as a sum of positive squares in 8 ways, for example, as 18301284 + 72863296 = 4278^2 + 8536^2 .

It is not an unprimeable number, because it can be changed into a prime (91164581) 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, 135124 + ... + 135796.

It is an arithmetic number, because the mean of its divisors is an integer number (4309893).

Almost surely, 2^91164580 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 91164580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103437432).

91164580 is an abundant number, since it is smaller than the sum of its proper divisors (115710284).

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

91164580 is a wasteful number, since it uses less digits than its factorization.

91164580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 91164580 is about 9548.0144532777. The cubic root of 91164580 is about 450.0651428327.

It can be divided in two parts, 911645 and 80, that multiplied together give a square (72931600 = 8540²).

The spelling of 91164580 in words is "ninety-one million, one hundred sixty-four thousand, five hundred eighty".