91749504 has 256 divisors, whose sum is σ = 317260800. Its totient is φ = 22794240.

The previous prime is 91749503. The next prime is 91749509. The reversal of 91749504 is 40594719.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91749503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857419 + ... + 857525.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 2^91749504 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 91749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

91749504 is an abundant number, since it is smaller than the sum of its proper divisors (225511296).

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

91749504 is a wasteful number, since it uses less digits than its factorization.

91749504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 91749504 is about 9578.5961393098. The cubic root of 91749504 is about 451.0256506601.

The spelling of 91749504 in words is "ninety-one million, seven hundred forty-nine thousand, five hundred four".