91558560 has 192 divisors, whose sum is σ = 303730560. Its totient is φ = 23162880.

The previous prime is 91558543. The next prime is 91558601. The reversal of 91558560 is 6585519.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1500930 + ... + 1500990.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 2^91558560 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 91558560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

91558560 is an abundant number, since it is smaller than the sum of its proper divisors (212172000).

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

91558560 is a wasteful number, since it uses less digits than its factorization.

91558560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 91558560 is about 9568.6237254895. The cubic root of 91558560 is about 450.7125501331.

It can be divided in two parts, 915 and 58560, that multiplied together give a square (53582400 = 7320²).

The spelling of 91558560 in words is "ninety-one million, five hundred fifty-eight thousand, five hundred sixty".