91008144 has 80 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 30190464.

The previous prime is 91008143. The next prime is 91008173. The reversal of 91008144 is 44180019.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91008143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126217 + ... + 126935.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^91008144 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 91008144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

91008144 is an abundant number, since it is smaller than the sum of its proper divisors (171475056).

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

91008144 is a wasteful number, since it uses less digits than its factorization.

91008144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 91008144 is about 9539.8188662050. The cubic root of 91008144 is about 449.8075621621.

The spelling of 91008144 in words is "ninety-one million, eight thousand, one hundred forty-four".