980584800 has 288 divisors, whose sum is σ = 3508087968. Its totient is φ = 236421120.

The previous prime is 980584793. The next prime is 980584807. The reversal of 980584800 is 8485089.

It is an interprime number because it is at equal distance from previous prime (980584793) and next prime (980584807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980584807) by changing a digit.

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, 1653304 + ... + 1653896.

It is an arithmetic number, because the mean of its divisors is an integer number (12180861).

Almost surely, 2^980584800 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 980584800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754043984).

980584800 is an abundant number, since it is smaller than the sum of its proper divisors (2527503168).

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

980584800 is a wasteful number, since it uses less digits than its factorization.

980584800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 980584800 is about 31314.2906673614. The cubic root of 980584800 is about 993.4859256395.

The spelling of 980584800 in words is "nine hundred eighty million, five hundred eighty-four thousand, eight hundred".