86543600 has 240 divisors, whose sum is σ = 261545760. Its totient is φ = 27033600.

The previous prime is 86543531. The next prime is 86543603. The reversal of 86543600 is 634568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86543603) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 972356 + ... + 972444.

It is an arithmetic number, because the mean of its divisors is an integer number (1089774).

Almost surely, 2^86543600 is an apocalyptic number.

86543600 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 86543600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130772880).

86543600 is an abundant number, since it is smaller than the sum of its proper divisors (175002160).

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

86543600 is a wasteful number, since it uses less digits than its factorization.

86543600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 86543600 is about 9302.8812741000. The cubic root of 86543600 is about 442.3285641452.

The spelling of 86543600 in words is "eighty-six million, five hundred forty-three thousand, six hundred".