91849576 has 64 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 35804160.

The previous prime is 91849567. The next prime is 91849579. The reversal of 91849576 is 67594819.

It is a super-2 number, since 2×91849576² = 16872689222759552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91849579) 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 15 ways as a sum of consecutive naturals, for example, 50800 + ... + 52576.

It is an arithmetic number, because the mean of its divisors is an integer number (3360420).

Almost surely, 2^91849576 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 91849576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

91849576 is an abundant number, since it is smaller than the sum of its proper divisors (123217304).

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

91849576 is a wasteful number, since it uses less digits than its factorization.

91849576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1870 counting only the distinct ones).

The product of its digits is 544320, while the sum is 49.

The square root of 91849576 is about 9583.8184456927. The cubic root of 91849576 is about 451.1895703078.

The spelling of 91849576 in words is "ninety-one million, eight hundred forty-nine thousand, five hundred seventy-six".