1601983980 has 240 divisors, whose sum is σ = 5225109120. Its totient is φ = 410572800.

The previous prime is 1601983973. The next prime is 1601984047. The reversal of 1601983980 is 893891061.

1601983980 is a `hidden beast` number, since 1 + 601 + 9 + 8 + 39 + 8 + 0 = 666.

It is a super-3 number, since 3×1601983980³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5911245 + ... + 5911515.

It is an arithmetic number, because the mean of its divisors is an integer number (21771288).

Almost surely, 2^1601983980 is an apocalyptic number.

1601983980 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 1601983980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612554560).

1601983980 is an abundant number, since it is smaller than the sum of its proper divisors (3623125140).

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

1601983980 is a wasteful number, since it uses less digits than its factorization.

1601983980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1601983980 is about 40024.7920669177. The cubic root of 1601983980 is about 1170.0903283319.

It can be divided in two parts, 16019 and 83980, that added together give a palindrome (99999).

The spelling of 1601983980 in words is "one billion, six hundred one million, nine hundred eighty-three thousand, nine hundred eighty".