980353920 has 512 divisors, whose sum is σ = 3992002560. Its totient is φ = 199065600.

The previous prime is 980353867. The next prime is 980353931. The reversal of 980353920 is 29353089.

It is a super-2 number, since 2×980353920² = 1922187616918732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 5416230 + ... + 5416410.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2^980353920 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 980353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996001280).

980353920 is an abundant number, since it is smaller than the sum of its proper divisors (3011648640).

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

980353920 is a wasteful number, since it uses less digits than its factorization.

980353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 980353920 is about 31310.6039545710. The cubic root of 980353920 is about 993.4079469900.

The spelling of 980353920 in words is "nine hundred eighty million, three hundred fifty-three thousand, nine hundred twenty".