91566760 has 72 divisors (see below), whose sum is σ = 221343930. Its totient is φ = 34084864.

The previous prime is 91566751. The next prime is 91566791. The reversal of 91566760 is 6766519.

It can be written as a sum of positive squares in 9 ways, for example, as 7257636 + 84309124 = 2694^2 + 9182^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 17 ways as a sum of consecutive naturals, for example, 1028796 + ... + 1028884.

Almost surely, 2^91566760 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 91566760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110671965).

91566760 is an abundant number, since it is smaller than the sum of its proper divisors (129777170).

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

91566760 is a wasteful number, since it uses less digits than its factorization.

91566760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 91566760 is about 9569.0521996695. The cubic root of 91566760 is about 450.7260050286.

Multiplying 91566760 by its sum of digits (40), we get a square (3662670400 = 60520²).

91566760 divided by its sum of digits (40) gives a square (2289169 = 1513²).

The spelling of 91566760 in words is "ninety-one million, five hundred sixty-six thousand, seven hundred sixty".