88255200 has 144 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 21388800.

The previous prime is 88255187. The next prime is 88255213. The reversal of 88255200 is 255288.

It is an interprime number because it is at equal distance from previous prime (88255187) and next prime (88255213).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 24729 + ... + 28071.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 2^88255200 is an apocalyptic number.

88255200 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 88255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

88255200 is an abundant number, since it is smaller than the sum of its proper divisors (225224736).

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

88255200 is a wasteful number, since it uses less digits than its factorization.

88255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 88255200 is about 9394.4238780247. The cubic root of 88255200 is about 445.2255726292.

The spelling of 88255200 in words is "eighty-eight million, two hundred fifty-five thousand, two hundred".