88705000 has 80 divisors (see below), whose sum is σ = 211010580. Its totient is φ = 34944000.

The previous prime is 88704989. The next prime is 88705003. The reversal of 88705000 is 50788.

It can be written as a sum of positive squares in 10 ways, for example, as 38266596 + 50438404 = 6186^2 + 7102^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 88705000.

It is not an unprimeable number, because it can be changed into a prime (88705003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 564922 + ... + 565078.

Almost surely, 2^88705000 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 88705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105505290).

88705000 is an abundant number, since it is smaller than the sum of its proper divisors (122305580).

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

88705000 is a wasteful number, since it uses less digits than its factorization.

88705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 88705000 is about 9418.3331858668. Note that the first 3 decimals coincide. The cubic root of 88705000 is about 445.9806677189.

Adding to 88705000 its reverse (50788), we get a palindrome (88755788).

The spelling of 88705000 in words is "eighty-eight million, seven hundred five thousand".