85549600 has 36 divisors (see below), whose sum is σ = 208849914. Its totient is φ = 34219520.

The previous prime is 85549589. The next prime is 85549601. The reversal of 85549600 is 694558.

It can be written as a sum of positive squares in 3 ways, for example, as 59783824 + 25765776 = 7732^2 + 5076^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85549600.

It is not an unprimeable number, because it can be changed into a prime (85549601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52669 + ... + 54268.

Almost surely, 2^85549600 is an apocalyptic number.

85549600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85549600 is an abundant number, since it is smaller than the sum of its proper divisors (123300314).

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

85549600 is a wasteful number, since it uses less digits than its factorization.

85549600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106957 (or 106944 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 85549600 is about 9249.3026764184. The cubic root of 85549600 is about 440.6285781779.

The spelling of 85549600 in words is "eighty-five million, five hundred forty-nine thousand, six hundred".