985521600 has 336 divisors, whose sum is σ = 4107078400. Its totient is φ = 225192960.

The previous prime is 985521571. The next prime is 985521619. The reversal of 985521600 is 6125589.

It is a happy number.

985521600 is a `hidden beast` number, since 98 + 552 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300771 + ... + 304029.

Almost surely, 2^985521600 is an apocalyptic number.

985521600 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 985521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053539200).

985521600 is an abundant number, since it is smaller than the sum of its proper divisors (3121556800).

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

985521600 is a wasteful number, since it uses less digits than its factorization.

985521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 985521600 is about 31393.0183321069. The cubic root of 985521600 is about 995.1503859290.

The spelling of 985521600 in words is "nine hundred eighty-five million, five hundred twenty-one thousand, six hundred".