91095660 has 72 divisors (see below), whose sum is σ = 278918640. Its totient is φ = 24064128.

The previous prime is 91095643. The next prime is 91095677. The reversal of 91095660 is 6659019.

91095660 is a `hidden beast` number, since 91 + 0 + 9 + 566 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (91095643) and next prime (91095677).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17299 + ... + 21941.

It is an arithmetic number, because the mean of its divisors is an integer number (3873870).

Almost surely, 2^91095660 is an apocalyptic number.

91095660 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 91095660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139459320).

91095660 is an abundant number, since it is smaller than the sum of its proper divisors (187822980).

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

91095660 is a wasteful number, since it uses less digits than its factorization.

91095660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 91095660 is about 9544.4046435595. The cubic root of 91095660 is about 449.9516985194.

The spelling of 91095660 in words is "ninety-one million, ninety-five thousand, six hundred sixty".