91782144 has 132 divisors (see below), whose sum is σ = 277180176. Its totient is φ = 29196288.

The previous prime is 91782127. The next prime is 91782151. The reversal of 91782144 is 44128719.

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 = 91782099 and 91782108.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 211752 + ... + 212184.

Almost surely, 2^91782144 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 91782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138590088).

91782144 is an abundant number, since it is smaller than the sum of its proper divisors (185398032).

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

91782144 is a wasteful number, since it uses less digits than its factorization.

91782144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 461 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 91782144 is about 9580.2997865411. The cubic root of 91782144 is about 451.0791286308.

The spelling of 91782144 in words is "ninety-one million, seven hundred eighty-two thousand, one hundred forty-four".