91853440 has 192 divisors, whose sum is σ = 266862600. Its totient is φ = 30105600.

The previous prime is 91853423. The next prime is 91853441. The reversal of 91853440 is 4435819.

It can be written as a sum of positive squares in 4 ways, for example, as 89567296 + 2286144 = 9464^2 + 1512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 91853396 and 91853405.

It is not an unprimeable number, because it can be changed into a prime (91853441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 909390 + ... + 909490.

Almost surely, 2^91853440 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 91853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133431300).

91853440 is an abundant number, since it is smaller than the sum of its proper divisors (175009160).

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

91853440 is a wasteful number, since it uses less digits than its factorization.

91853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 91853440 is about 9584.0200333680. The cubic root of 91853440 is about 451.1958972180.

The spelling of 91853440 in words is "ninety-one million, eight hundred fifty-three thousand, four hundred forty".