85543600 has 30 divisors (see below), whose sum is σ = 205519460. Its totient is φ = 34217280.

The previous prime is 85543573. The next prime is 85543607. The reversal of 85543600 is 634558.

It is not an unprimeable number, because it can be changed into a prime (85543607) 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 5 ways as a sum of consecutive naturals, for example, 106530 + ... + 107329.

Almost surely, 2^85543600 is an apocalyptic number.

85543600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85543600 is an abundant number, since it is smaller than the sum of its proper divisors (119975860).

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

85543600 is a wasteful number, since it uses less digits than its factorization.

85543600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213877 (or 213866 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 85543600 is about 9248.9783219553. The cubic root of 85543600 is about 440.6182768117.

The spelling of 85543600 in words is "eighty-five million, five hundred forty-three thousand, six hundred".