91842240 has 224 divisors, whose sum is σ = 339425280. Its totient is φ = 20606976.

The previous prime is 91842227. The next prime is 91842241. The reversal of 91842240 is 4224819.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 91842198 and 91842207.

It is not an unprimeable number, because it can be changed into a prime (91842241) 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 31 ways as a sum of consecutive naturals, for example, 530794 + ... + 530966.

Almost surely, 2^91842240 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 91842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169712640).

91842240 is an abundant number, since it is smaller than the sum of its proper divisors (247583040).

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

91842240 is a wasteful number, since it uses less digits than its factorization.

91842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 91842240 is about 9583.4357095981. The cubic root of 91842240 is about 451.1775578597.

The spelling of 91842240 in words is "ninety-one million, eight hundred forty-two thousand, two hundred forty".