982437120 has 576 divisors, whose sum is σ = 4144250880. Its totient is φ = 215654400.

The previous prime is 982437109. The next prime is 982437149. The reversal of 982437120 is 21734289.

It is a tau number, because it is divible by the number of its divisors (576).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7499455 + ... + 7499585.

It is an arithmetic number, because the mean of its divisors is an integer number (7194880).

Almost surely, 2^982437120 is an apocalyptic number.

982437120 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 982437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072125440).

982437120 is an abundant number, since it is smaller than the sum of its proper divisors (3161813760).

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

982437120 is a wasteful number, since it uses less digits than its factorization.

982437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 982437120 is about 31343.8529858727. The cubic root of 982437120 is about 994.1110955451. Note that the first 3 decimals are identical.

The spelling of 982437120 in words is "nine hundred eighty-two million, four hundred thirty-seven thousand, one hundred twenty".