88733200 has 60 divisors (see below), whose sum is σ = 225738900. Its totient is φ = 33402880.

The previous prime is 88733189. The next prime is 88733201. The reversal of 88733200 is 233788.

It can be written as a sum of positive squares in 6 ways, for example, as 147456 + 88585744 = 384^2 + 9412^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88733201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276 + ... + 13324.

It is an arithmetic number, because the mean of its divisors is an integer number (3762315).

Almost surely, 2^88733200 is an apocalyptic number.

88733200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88733200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112869450).

88733200 is an abundant number, since it is smaller than the sum of its proper divisors (137005700).

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

88733200 is a wasteful number, since it uses less digits than its factorization.

88733200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13084 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 88733200 is about 9419.8301470886. The cubic root of 88733200 is about 446.0279229369.

Adding to 88733200 its reverse (233788), we get a palindrome (88966988).

The spelling of 88733200 in words is "eighty-eight million, seven hundred thirty-three thousand, two hundred".