88447200 has 144 divisors (see below), whose sum is σ = 291075120. Its totient is φ = 23326720.

The previous prime is 88447199. The next prime is 88447201. The reversal of 88447200 is 274488.

It is an interprime number because it is at equal distance from previous prime (88447199) and next prime (88447201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88447201) 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 23 ways as a sum of consecutive naturals, for example, 328666 + ... + 328934.

It is an arithmetic number, because the mean of its divisors is an integer number (2021355).

Almost surely, 2^88447200 is an apocalyptic number.

88447200 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 88447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145537560).

88447200 is an abundant number, since it is smaller than the sum of its proper divisors (202627920).

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

88447200 is a wasteful number, since it uses less digits than its factorization.

88447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 88447200 is about 9404.6371540852. The cubic root of 88447200 is about 445.5482028910.

It can be divided in two parts, 884 and 47200, that added together give a palindrome (48084).

The spelling of 88447200 in words is "eighty-eight million, four hundred forty-seven thousand, two hundred".