85954600 has 24 divisors (see below), whose sum is σ = 199844910. Its totient is φ = 34381760.

The previous prime is 85954577. The next prime is 85954639. The reversal of 85954600 is 645958.

It can be written as a sum of positive squares in 3 ways, for example, as 81468676 + 4485924 = 9026^2 + 2118^2 .

It is a super-2 number, since 2×85954600² = 14776386522320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85954600.

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 5 ways as a sum of consecutive naturals, for example, 214687 + ... + 215086.

Almost surely, 2^85954600 is an apocalyptic number.

It is an amenable number.

85954600 is an abundant number, since it is smaller than the sum of its proper divisors (113890310).

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

85954600 is a wasteful number, since it uses less digits than its factorization.

85954600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429789 (or 429780 counting only the distinct ones).

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

The square root of 85954600 is about 9271.1703684055. The cubic root of 85954600 is about 441.3228097717.

The spelling of 85954600 in words is "eighty-five million, nine hundred fifty-four thousand, six hundred".