1979082560 has 448 divisors, whose sum is σ = 6315456000. Its totient is φ = 585252864.

The previous prime is 1979082551. The next prime is 1979082571. The reversal of 1979082560 is 652809791.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27110684 + ... + 27110756.

It is an arithmetic number, because the mean of its divisors is an integer number (14097000).

Almost surely, 2^1979082560 is an apocalyptic number.

1979082560 is a gapful number since it is divisible by the number (10) 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 1979082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157728000).

1979082560 is an abundant number, since it is smaller than the sum of its proper divisors (4336373440).

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

1979082560 is a wasteful number, since it uses less digits than its factorization.

1979082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 1979082560 is about 44486.8807627597. The cubic root of 1979082560 is about 1255.5132602187.

The spelling of 1979082560 in words is "one billion, nine hundred seventy-nine million, eighty-two thousand, five hundred sixty".