88585344 has 96 divisors (see below), whose sum is σ = 257297040. Its totient is φ = 29253120.

The previous prime is 88585339. The next prime is 88585361. The reversal of 88585344 is 44358588.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 88585344.

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, 150619 + ... + 151205.

Almost surely, 2^88585344 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 88585344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128648520).

88585344 is an abundant number, since it is smaller than the sum of its proper divisors (168711696).

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

88585344 is a wasteful number, since it uses less digits than its factorization.

88585344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 723 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 88585344 is about 9411.9787505072. The cubic root of 88585344 is about 445.7800466510.

The spelling of 88585344 in words is "eighty-eight million, five hundred eighty-five thousand, three hundred forty-four".