88531200 has 324 divisors, whose sum is σ = 333611460. Its totient is φ = 22364160.

The previous prime is 88531159. The next prime is 88531213. The reversal of 88531200 is 213588.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20736 + 88510464 = 144^2 + 9408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1670374 + ... + 1670426.

It is an arithmetic number, because the mean of its divisors is an integer number (1029665).

Almost surely, 2^88531200 is an apocalyptic number.

88531200 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 88531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166805730).

88531200 is an abundant number, since it is smaller than the sum of its proper divisors (245080260).

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

88531200 is a wasteful number, since it uses less digits than its factorization.

88531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 88531200 is about 9409.1019762781. The cubic root of 88531200 is about 445.6892068166.

Adding to 88531200 its reverse (213588), we get a palindrome (88744788).

The spelling of 88531200 in words is "eighty-eight million, five hundred thirty-one thousand, two hundred".