980208000 has 256 divisors, whose sum is σ = 3612024000. Its totient is φ = 261273600.

The previous prime is 980207999. The next prime is 980208001. The reversal of 980208000 is 802089.

It is an interprime number because it is at equal distance from previous prime (980207999) and next prime (980208001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980208001) 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 31 ways as a sum of consecutive naturals, for example, 430866 + ... + 433134.

Almost surely, 2^980208000 is an apocalyptic number.

980208000 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 980208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806012000).

980208000 is an abundant number, since it is smaller than the sum of its proper divisors (2631816000).

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

980208000 is a wasteful number, since it uses less digits than its factorization.

980208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 980208000 is about 31308.2736668760. The cubic root of 980208000 is about 993.3586568723.

The spelling of 980208000 in words is "nine hundred eighty million, two hundred eight thousand".