982856700 has 864 divisors, whose sum is σ = 4274726400. Its totient is φ = 191600640.

The previous prime is 982856689. The next prime is 982856731. The reversal of 982856700 is 7658289.

982856700 is a `hidden beast` number, since 9 + 82 + 8 + 567 + 0 + 0 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42732889 + ... + 42732911.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^982856700 is an apocalyptic number.

982856700 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 982856700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137363200).

982856700 is an abundant number, since it is smaller than the sum of its proper divisors (3291869700).

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

982856700 is a wasteful number, since it uses less digits than its factorization.

982856700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

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

The square root of 982856700 is about 31350.5454498004. The cubic root of 982856700 is about 994.2525973130.

The spelling of 982856700 in words is "nine hundred eighty-two million, eight hundred fifty-six thousand, seven hundred".