980313600 has 360 divisors, whose sum is σ = 3774354408. Its totient is φ = 223641600.

The previous prime is 980313583. The next prime is 980313611. The reversal of 980313600 is 6313089.

980313600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×980313600² = 1922029508689920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 35 ways as a sum of consecutive naturals, for example, 1881340 + ... + 1881860.

Almost surely, 2^980313600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887177204).

980313600 is an abundant number, since it is smaller than the sum of its proper divisors (2794040808).

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

980313600 is a wasteful number, since it uses less digits than its factorization.

980313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 980313600 is about 31309.9600766274. The cubic root of 980313600 is about 993.3943278413.

Adding to 980313600 its reverse (6313089), we get a palindrome (986626689).

The spelling of 980313600 in words is "nine hundred eighty million, three hundred thirteen thousand, six hundred".