88981200 has 480 divisors, whose sum is σ = 398545920. Its totient is φ = 18316800.

The previous prime is 88981183. The next prime is 88981201. The reversal of 88981200 is 218988.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88981201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 831547 + ... + 831653.

It is an arithmetic number, because the mean of its divisors is an integer number (830304).

Almost surely, 2^88981200 is an apocalyptic number.

88981200 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 88981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272960).

88981200 is an abundant number, since it is smaller than the sum of its proper divisors (309564720).

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

88981200 is a wasteful number, since it uses less digits than its factorization.

88981200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 88981200 is about 9432.9846814251. The cubic root of 88981200 is about 446.4430701882.

The spelling of 88981200 in words is "eighty-eight million, nine hundred eighty-one thousand, two hundred".