85944300 has 72 divisors (see below), whose sum is σ = 267805776. Its totient is φ = 21154560.

The previous prime is 85944289. The next prime is 85944301. The reversal of 85944300 is 344958.

It is not an unprimeable number, because it can be changed into a prime (85944301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7119 + ... + 14918.

Almost surely, 2^85944300 is an apocalyptic number.

It is an amenable number.

85944300 is an abundant number, since it is smaller than the sum of its proper divisors (181861476).

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

85944300 is a wasteful number, since it uses less digits than its factorization.

85944300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22067 (or 22060 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 85944300 is about 9270.6148663398. The cubic root of 85944300 is about 441.3051810603.

The spelling of 85944300 in words is "eighty-five million, nine hundred forty-four thousand, three hundred".