980683200 has 840 divisors, whose sum is σ = 4390290432. Its totient is φ = 209848320.

The previous prime is 980683189. The next prime is 980683201. The reversal of 980683200 is 2386089.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980683201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20865577 + ... + 20865623.

Almost surely, 2^980683200 is an apocalyptic number.

980683200 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 980683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195145216).

980683200 is an abundant number, since it is smaller than the sum of its proper divisors (3409607232).

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

980683200 is a wasteful number, since it uses less digits than its factorization.

980683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 980683200 is about 31315.8617955821. The cubic root of 980683200 is about 993.5191560632.

The spelling of 980683200 in words is "nine hundred eighty million, six hundred eighty-three thousand, two hundred".