985672800 has 720 divisors, whose sum is σ = 4287663072. Its totient is φ = 215654400.

The previous prime is 985672763. The next prime is 985672811. The reversal of 985672800 is 8276589.

985672800 is a `hidden beast` number, since 9 + 8 + 567 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 18597574 + ... + 18597626.

Almost surely, 2^985672800 is an apocalyptic number.

985672800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143831536).

985672800 is an abundant number, since it is smaller than the sum of its proper divisors (3301990272).

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

985672800 is a wasteful number, since it uses less digits than its factorization.

985672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 985672800 is about 31395.4264185088. The cubic root of 985672800 is about 995.2012757468.

The spelling of 985672800 in words is "nine hundred eighty-five million, six hundred seventy-two thousand, eight hundred".