983920000 has 240 divisors, whose sum is σ = 2860662420. Its totient is φ = 336000000.

The previous prime is 983919977. The next prime is 983920019. The reversal of 983920000 is 29389.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3919875 + ... + 3920125.

Almost surely, 2^983920000 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 983920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430331210).

983920000 is an abundant number, since it is smaller than the sum of its proper divisors (1876742420).

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

983920000 is an equidigital number, since it uses as much as digits as its factorization.

983920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 983920000 is about 31367.4991033713. The cubic root of 983920000 is about 994.6110109648.

Adding to 983920000 its reverse (29389), we get a palindrome (983949389).

It can be divided in two parts, 98 and 3920000, that multiplied together give a 4-th power (384160000 = 140⁴).

The spelling of 983920000 in words is "nine hundred eighty-three million, nine hundred twenty thousand".