983930976 has 360 divisors, whose sum is σ = 3448279296. Its totient is φ = 274337280.

The previous prime is 983930971. The next prime is 983930989. The reversal of 983930976 is 679039389.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983930971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7747425 + ... + 7747551.

Almost surely, 2^983930976 is an apocalyptic number.

983930976 is a gapful number since it is divisible by the number (96) 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 983930976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724139648).

983930976 is an abundant number, since it is smaller than the sum of its proper divisors (2464348320).

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

983930976 is a wasteful number, since it uses less digits than its factorization.

983930976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 983930976 is about 31367.6740610457. The cubic root of 983930976 is about 994.6147093718.

It can be divided in two parts, 983930 and 976, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 983930976 in words is "nine hundred eighty-three million, nine hundred thirty thousand, nine hundred seventy-six".