86349600 has 216 divisors, whose sum is σ = 310761360. Its totient is φ = 22556160.

The previous prime is 86349589. The next prime is 86349619. The reversal of 86349600 is 694368.

86349600 is a `hidden beast` number, since 8 + 6 + 3 + 49 + 600 = 666.

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

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, 482311 + ... + 482489.

It is an arithmetic number, because the mean of its divisors is an integer number (1438710).

Almost surely, 2^86349600 is an apocalyptic number.

86349600 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 86349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

86349600 is an abundant number, since it is smaller than the sum of its proper divisors (224411760).

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

86349600 is a wasteful number, since it uses less digits than its factorization.

86349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 86349600 is about 9292.4485470730. The cubic root of 86349600 is about 441.9978023819.

The spelling of 86349600 in words is "eighty-six million, three hundred forty-nine thousand, six hundred".