88123200 has 168 divisors, whose sum is σ = 315589920. Its totient is φ = 21350400.

The previous prime is 88123187. The next prime is 88123241. The reversal of 88123200 is 232188.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51966 + ... + 53634.

Almost surely, 2^88123200 is an apocalyptic number.

88123200 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 88123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157794960).

88123200 is an abundant number, since it is smaller than the sum of its proper divisors (227466720).

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

88123200 is a wasteful number, since it uses less digits than its factorization.

88123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 88123200 is about 9387.3958050143. The cubic root of 88123200 is about 445.0034927976.

Adding to 88123200 its reverse (232188), we get a palindrome (88355388).

The spelling of 88123200 in words is "eighty-eight million, one hundred twenty-three thousand, two hundred".