983407320 has 576 divisors, whose sum is σ = 4108216320. Its totient is φ = 199355904.

The previous prime is 983407319. The next prime is 983407331. The reversal of 983407320 is 23704389.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20923537 + ... + 20923583.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 2^983407320 is an apocalyptic number.

983407320 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 983407320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054108160).

983407320 is an abundant number, since it is smaller than the sum of its proper divisors (3124809000).

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

983407320 is a wasteful number, since it uses less digits than its factorization.

983407320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 983407320 is about 31359.3258856118. The cubic root of 983407320 is about 994.4382307373.

The spelling of 983407320 in words is "nine hundred eighty-three million, four hundred seven thousand, three hundred twenty".