88999200 has 216 divisors, whose sum is σ = 321729408. Its totient is φ = 23139840.

The previous prime is 88999193. The next prime is 88999217. The reversal of 88999200 is 299988.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338269 + ... + 338531.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^88999200 is an apocalyptic number.

88999200 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 88999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

88999200 is an abundant number, since it is smaller than the sum of its proper divisors (232730208).

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

88999200 is a wasteful number, since it uses less digits than its factorization.

88999200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 88999200 is about 9433.9387320461. The cubic root of 88999200 is about 446.4731718031.

The spelling of 88999200 in words is "eighty-eight million, nine hundred ninety-nine thousand, two hundred".