985891200 has 384 divisors, whose sum is σ = 3934033920. Its totient is φ = 211845120.

The previous prime is 985891169. The next prime is 985891201. The reversal of 985891200 is 2198589.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985891201) 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, 1141969 + ... + 1142831.

It is an arithmetic number, because the mean of its divisors is an integer number (10244880).

Almost surely, 2^985891200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967016960).

985891200 is an abundant number, since it is smaller than the sum of its proper divisors (2948142720).

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

985891200 is a wasteful number, since it uses less digits than its factorization.

985891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 985891200 is about 31398.9044394864. The cubic root of 985891200 is about 995.2747740745.

The spelling of 985891200 in words is "nine hundred eighty-five million, eight hundred ninety-one thousand, two hundred".