985881600 has 396 divisors, whose sum is σ = 3860723880. Its totient is φ = 238387200.

The previous prime is 985881599. The next prime is 985881601. The reversal of 985881600 is 6188589.

985881600 is a `hidden beast` number, since 9 + 8 + 588 + 1 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (985881599) and next prime (985881601).

It is a tau number, because it is divible by the number of its divisors (396).

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 (985881601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2534206 + ... + 2534594.

Almost surely, 2^985881600 is an apocalyptic number.

985881600 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 985881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930361940).

985881600 is an abundant number, since it is smaller than the sum of its proper divisors (2874842280).

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

985881600 is a wasteful number, since it uses less digits than its factorization.

985881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 985881600 is about 31398.7515675385. The cubic root of 985881600 is about 995.2715436069.

The spelling of 985881600 in words is "nine hundred eighty-five million, eight hundred eighty-one thousand, six hundred".