91382144 has 64 divisors (see below), whose sum is σ = 210854400. Its totient is φ = 38638080.

The previous prime is 91382131. The next prime is 91382167. The reversal of 91382144 is 44128319.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 91382144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70139 + ... + 71429.

It is an arithmetic number, because the mean of its divisors is an integer number (3294600).

Almost surely, 2^91382144 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 91382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105427200).

91382144 is an abundant number, since it is smaller than the sum of its proper divisors (119472256).

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

91382144 is a wasteful number, since it uses less digits than its factorization.

91382144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1379 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 91382144 is about 9559.4008180429. The cubic root of 91382144 is about 450.4228847766.

The spelling of 91382144 in words is "ninety-one million, three hundred eighty-two thousand, one hundred forty-four".