88573824 has 80 divisors (see below), whose sum is σ = 263625120. Its totient is φ = 29521152.

The previous prime is 88573787. The next prime is 88573829. The reversal of 88573824 is 42837588.

It is a self number, because there is not a number n which added to its sum of digits gives 88573824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88573829) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 6097 + ... + 14639.

It is an arithmetic number, because the mean of its divisors is an integer number (3295314).

Almost surely, 2^88573824 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 88573824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131812560).

88573824 is an abundant number, since it is smaller than the sum of its proper divisors (175051296).

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

88573824 is an equidigital number, since it uses as much as digits as its factorization.

88573824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8569 (or 8548 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 88573824 is about 9411.3667445276. The cubic root of 88573824 is about 445.7607221272.

The spelling of 88573824 in words is "eighty-eight million, five hundred seventy-three thousand, eight hundred twenty-four".