983808000 has 576 divisors, whose sum is σ = 4119111360. Its totient is φ = 221184000.

The previous prime is 983807989. The next prime is 983808017. The reversal of 983808000 is 808389.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16127970 + ... + 16128030.

It is an arithmetic number, because the mean of its divisors is an integer number (7151235).

Almost surely, 2^983808000 is an apocalyptic number.

983808000 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 983808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059555680).

983808000 is an abundant number, since it is smaller than the sum of its proper divisors (3135303360).

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

983808000 is a wasteful number, since it uses less digits than its factorization.

983808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 983808000 is about 31365.7137651927. The cubic root of 983808000 is about 994.5732705454.

The spelling of 983808000 in words is "nine hundred eighty-three million, eight hundred eight thousand".