88323200 has 96 divisors (see below), whose sum is σ = 249418560. Its totient is φ = 30274560.

The previous prime is 88323133. The next prime is 88323217. The reversal of 88323200 is 232388.

It is a self number, because there is not a number n which added to its sum of digits gives 88323200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20429 + ... + 24371.

It is an arithmetic number, because the mean of its divisors is an integer number (2598110).

Almost surely, 2^88323200 is an apocalyptic number.

88323200 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 88323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124709280).

88323200 is an abundant number, since it is smaller than the sum of its proper divisors (161095360).

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

88323200 is a wasteful number, since it uses less digits than its factorization.

88323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 88323200 is about 9398.0423493406. The cubic root of 88323200 is about 445.3398909796.

Adding to 88323200 its reverse (232388), we get a palindrome (88555588).

It can be divided in two parts, 8 and 8323200, that multiplied together give a square (66585600 = 8160²).

The spelling of 88323200 in words is "eighty-eight million, three hundred twenty-three thousand, two hundred".