91241856 has 128 divisors (see below), whose sum is σ = 285314400. Its totient is φ = 28606464.

The previous prime is 91241837. The next prime is 91241867. The reversal of 91241856 is 65814219.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 91241856.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 57976 + ... + 59528.

Almost surely, 2^91241856 is an apocalyptic number.

91241856 is a gapful number since it is divisible by the number (96) 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 91241856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142657200).

91241856 is an abundant number, since it is smaller than the sum of its proper divisors (194072544).

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

91241856 is a wasteful number, since it uses less digits than its factorization.

91241856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1575 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 91241856 is about 9552.0603013172. The cubic root of 91241856 is about 450.1922733904.

The spelling of 91241856 in words is "ninety-one million, two hundred forty-one thousand, eight hundred fifty-six".