1980126720 has 480 divisors, whose sum is σ = 8070045984. Its totient is φ = 442368000.

The previous prime is 1980126677. The next prime is 1980126721. The reversal of 1980126720 is 276210891.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980126721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294420 + ... + 3295020.

Almost surely, 2^1980126720 is an apocalyptic number.

1980126720 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 1980126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035022992).

1980126720 is an abundant number, since it is smaller than the sum of its proper divisors (6089919264).

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

1980126720 is a wasteful number, since it uses less digits than its factorization.

1980126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1980126720 is about 44498.6148099017. The cubic root of 1980126720 is about 1255.7340234935.

It can be divided in two parts, 1980 and 126720, that multiplied together give a square (250905600 = 15840²).

The spelling of 1980126720 in words is "one billion, nine hundred eighty million, one hundred twenty-six thousand, seven hundred twenty".