91461744 has 160 divisors (see below), whose sum is σ = 301766400. Its totient is φ = 26231040.

The previous prime is 91461739. The next prime is 91461779. The reversal of 91461744 is 44716419.

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

It is a junction number, because it is equal to n+sod(n) for n = 91461699 and 91461708.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 89782 + ... + 90794.

It is an arithmetic number, because the mean of its divisors is an integer number (1886040).

Almost surely, 2^91461744 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 91461744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150883200).

91461744 is an abundant number, since it is smaller than the sum of its proper divisors (210304656).

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

91461744 is a wasteful number, since it uses less digits than its factorization.

91461744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1048 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 91461744 is about 9563.5633526422. The cubic root of 91461744 is about 450.5536297077.

The spelling of 91461744 in words is "ninety-one million, four hundred sixty-one thousand, seven hundred forty-four".