982743840 has 480 divisors, whose sum is σ = 3944445120. Its totient is φ = 228427776.

The previous prime is 982743833. The next prime is 982743857. The reversal of 982743840 is 48347289.

982743840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3200967 + ... + 3201273.

It is an arithmetic number, because the mean of its divisors is an integer number (8217594).

Almost surely, 2^982743840 is an apocalyptic number.

982743840 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 982743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972222560).

982743840 is an abundant number, since it is smaller than the sum of its proper divisors (2961701280).

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

982743840 is a wasteful number, since it uses less digits than its factorization.

982743840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 982743840 is about 31348.7454294426. The cubic root of 982743840 is about 994.2145396648.

The spelling of 982743840 in words is "nine hundred eighty-two million, seven hundred forty-three thousand, eight hundred forty".