91742048 has 48 divisors (see below), whose sum is σ = 188019216. Its totient is φ = 44029440.

The previous prime is 91742041. The next prime is 91742083. The reversal of 91742048 is 84024719.

It is a junction number, because it is equal to n+sod(n) for n = 91741999 and 91742017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91742041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83390 + ... + 84482.

It is an arithmetic number, because the mean of its divisors is an integer number (3917067).

Almost surely, 2^91742048 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 91742048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94009608).

91742048 is an abundant number, since it is smaller than the sum of its proper divisors (96277168).

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

91742048 is a wasteful number, since it uses less digits than its factorization.

91742048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 91742048 is about 9578.2069303184. The cubic root of 91742048 is about 451.0134328344.

The spelling of 91742048 in words is "ninety-one million, seven hundred forty-two thousand, forty-eight".