982704960 has 280 divisors, whose sum is σ = 3611367936. Its totient is φ = 253393920.

The previous prime is 982704917. The next prime is 982704967. The reversal of 982704960 is 69407289.

It is a happy number.

982704960 is a `hidden beast` number, since 98 + 2 + 70 + 496 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982704967) 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 39 ways as a sum of consecutive naturals, for example, 802909 + ... + 804131.

Almost surely, 2^982704960 is an apocalyptic number.

982704960 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 982704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805683968).

982704960 is an abundant number, since it is smaller than the sum of its proper divisors (2628662976).

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

982704960 is a wasteful number, since it uses less digits than its factorization.

982704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 982704960 is about 31348.1253027992. The cubic root of 982704960 is about 994.2014282213.

The spelling of 982704960 in words is "nine hundred eighty-two million, seven hundred four thousand, nine hundred sixty".