86889600 has 288 divisors, whose sum is σ = 355155840. Its totient is φ = 19814400.

The previous prime is 86889581. The next prime is 86889613. The reversal of 86889600 is 698868.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201385 + ... + 201815.

It is an arithmetic number, because the mean of its divisors is an integer number (1233180).

Almost surely, 2^86889600 is an apocalyptic number.

86889600 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 86889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177577920).

86889600 is an abundant number, since it is smaller than the sum of its proper divisors (268266240).

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

86889600 is a wasteful number, since it uses less digits than its factorization.

86889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 86889600 is about 9321.4591132505. The cubic root of 86889600 is about 442.9172546122.

The spelling of 86889600 in words is "eighty-six million, eight hundred eighty-nine thousand, six hundred".