982056960 has 340 divisors, whose sum is σ = 3615986748. Its totient is φ = 254803968.

The previous prime is 982056937. The next prime is 982056961. The reversal of 982056960 is 69650289.

982056960 is a `hidden beast` number, since 9 + 8 + 20 + 569 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 642318336 + 339738624 = 25344^2 + 18432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (982056961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26542062 + ... + 26542098.

Almost surely, 2^982056960 is an apocalyptic number.

982056960 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 982056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807993374).

982056960 is an abundant number, since it is smaller than the sum of its proper divisors (2633929788).

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

982056960 is an frugal number, since it uses more digits than its factorization.

982056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 982056960 is about 31337.7880521265. The cubic root of 982056960 is about 993.9828532305.

The spelling of 982056960 in words is "nine hundred eighty-two million, fifty-six thousand, nine hundred sixty".