983685120 has 384 divisors, whose sum is σ = 3566384640. Its totient is φ = 229376000.

The previous prime is 983685107. The next prime is 983685163. The reversal of 983685120 is 21586389.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13854685 + ... + 13854755.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2^983685120 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 983685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

983685120 is an abundant number, since it is smaller than the sum of its proper divisors (2582699520).

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

983685120 is a wasteful number, since it uses less digits than its factorization.

983685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 983685120 is about 31363.7548772464. The cubic root of 983685120 is about 994.5318606185.

The spelling of 983685120 in words is "nine hundred eighty-three million, six hundred eighty-five thousand, one hundred twenty".