983347680 has 144 divisors (see below), whose sum is σ = 3603353040. Its totient is φ = 224759808.

The previous prime is 983347669. The next prime is 983347691. The reversal of 983347680 is 86743389.

983347680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (983347669) and next prime (983347691).

It is a super-2 number, since 2×983347680² = 1933945319522764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2616 + ... + 44424.

It is an arithmetic number, because the mean of its divisors is an integer number (25023285).

Almost surely, 2^983347680 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 983347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801676520).

983347680 is an abundant number, since it is smaller than the sum of its proper divisors (2620005360).

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

983347680 is a wasteful number, since it uses less digits than its factorization.

983347680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41841 (or 41826 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 983347680 is about 31358.3749578960. The cubic root of 983347680 is about 994.4181273363.

The spelling of 983347680 in words is "nine hundred eighty-three million, three hundred forty-seven thousand, six hundred eighty".