88099200 has 576 divisors, whose sum is σ = 394617600. Its totient is φ = 18247680.

The previous prime is 88099163. The next prime is 88099229. The reversal of 88099200 is 299088.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×88099200² = 15522938081280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3830389 + ... + 3830411.

It is an arithmetic number, because the mean of its divisors is an integer number (685100).

Almost surely, 2^88099200 is an apocalyptic number.

88099200 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 88099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

88099200 is an abundant number, since it is smaller than the sum of its proper divisors (306518400).

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

88099200 is a wasteful number, since it uses less digits than its factorization.

88099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 88099200 is about 9386.1174081726. The cubic root of 88099200 is about 444.9630908242.

The spelling of 88099200 in words is "eighty-eight million, ninety-nine thousand, two hundred".