1980417600 has 840 divisors, whose sum is σ = 8689116480. Its totient is φ = 432967680.

The previous prime is 1980417581. The next prime is 1980417613. The reversal of 1980417600 is 67140891.

1980417600 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 41 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33566371 + ... + 33566429.

Almost surely, 2^1980417600 is an apocalyptic number.

1980417600 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 1980417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344558240).

1980417600 is an abundant number, since it is smaller than the sum of its proper divisors (6708698880).

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

1980417600 is a wasteful number, since it uses less digits than its factorization.

1980417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

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

The square root of 1980417600 is about 44501.8831062237. The cubic root of 1980417600 is about 1255.7955094621.

The spelling of 1980417600 in words is "one billion, nine hundred eighty million, four hundred seventeen thousand, six hundred".