980985600 has 432 divisors, whose sum is σ = 4116125440. Its totient is φ = 223948800.

The previous prime is 980985589. The next prime is 980985613. The reversal of 980985600 is 6589089.

980985600 is a `hidden beast` number, since 9 + 80 + 9 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209195 + ... + 1210005.

Almost surely, 2^980985600 is an apocalyptic number.

980985600 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 980985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058062720).

980985600 is an abundant number, since it is smaller than the sum of its proper divisors (3135139840).

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

980985600 is a wasteful number, since it uses less digits than its factorization.

980985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 980985600 is about 31320.6896475796. The cubic root of 980985600 is about 993.6212649186.

The spelling of 980985600 in words is "nine hundred eighty million, nine hundred eighty-five thousand, six hundred".