1601971200 has 396 divisors, whose sum is σ = 6088064580. Its totient is φ = 401080320.

The previous prime is 1601971193. The next prime is 1601971211. The reversal of 1601971200 is 21791061.

It can be written as a sum of positive squares in 6 ways, for example, as 97772544 + 1504198656 = 9888^2 + 38784^2 .

It is a super-3 number, since 3×1601971200³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3916596 + ... + 3917004.

Almost surely, 2^1601971200 is an apocalyptic number.

1601971200 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 1601971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044032290).

1601971200 is an abundant number, since it is smaller than the sum of its proper divisors (4486093380).

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

1601971200 is a wasteful number, since it uses less digits than its factorization.

1601971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1601971200 is about 40024.6324155513. The cubic root of 1601971200 is about 1170.0872168163.

The spelling of 1601971200 in words is "one billion, six hundred one million, nine hundred seventy-one thousand, two hundred".