985276800 has 144 divisors (see below), whose sum is σ = 3515796180. Its totient is φ = 262732800.

The previous prime is 985276771. The next prime is 985276801. The reversal of 985276800 is 8672589.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985276801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11695 + ... + 45905.

Almost surely, 2^985276800 is an apocalyptic number.

985276800 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 985276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757898090).

985276800 is an abundant number, since it is smaller than the sum of its proper divisors (2530519380).

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

985276800 is a wasteful number, since it uses less digits than its factorization.

985276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34241 (or 34221 counting only the distinct ones).

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

The square root of 985276800 is about 31389.1191338655. The cubic root of 985276800 is about 995.0679818538.

The spelling of 985276800 in words is "nine hundred eighty-five million, two hundred seventy-six thousand, eight hundred".