86587200 has 252 divisors, whose sum is σ = 352125280. Its totient is φ = 19768320.

The previous prime is 86587183. The next prime is 86587223. The reversal of 86587200 is 278568.

It is a tau number, because it is divible by the number of its divisors (252).

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100371 + ... + 101229.

Almost surely, 2^86587200 is an apocalyptic number.

86587200 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 86587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176062640).

86587200 is an abundant number, since it is smaller than the sum of its proper divisors (265538080).

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

86587200 is a wasteful number, since it uses less digits than its factorization.

86587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 86587200 is about 9305.2243390474. The cubic root of 86587200 is about 442.4028322508.

The spelling of 86587200 in words is "eighty-six million, five hundred eighty-seven thousand, two hundred".