983255520 has 576 divisors, whose sum is σ = 3825045504. Its totient is φ = 210862080.

The previous prime is 983255509. The next prime is 983255579. The reversal of 983255520 is 25552389.

983255520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×983255520² = 1933582835220940800, 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31717905 + ... + 31717935.

It is an arithmetic number, because the mean of its divisors is an integer number (6640704).

Almost surely, 2^983255520 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 983255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912522752).

983255520 is an abundant number, since it is smaller than the sum of its proper divisors (2841789984).

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

983255520 is a wasteful number, since it uses less digits than its factorization.

983255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 983255520 is about 31356.9054595634. The cubic root of 983255520 is about 994.3870605225.

The spelling of 983255520 in words is "nine hundred eighty-three million, two hundred fifty-five thousand, five hundred twenty".