1601971776 has 224 divisors, whose sum is σ = 5047488000. Its totient is φ = 496710144.

The previous prime is 1601971771. The next prime is 1601971823. The reversal of 1601971776 is 6771791061.

It is a super-3 number, since 3×1601971776³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1601971771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936675 + ... + 1937501.

Almost surely, 2^1601971776 is an apocalyptic number.

1601971776 is a gapful number since it is divisible by the number (16) 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 1601971776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523744000).

1601971776 is an abundant number, since it is smaller than the sum of its proper divisors (3445516224).

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

1601971776 is a wasteful number, since it uses less digits than its factorization.

1601971776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The square root of 1601971776 is about 40024.6396111195. The cubic root of 1601971776 is about 1170.0873570540.

The spelling of 1601971776 in words is "one billion, six hundred one million, nine hundred seventy-one thousand, seven hundred seventy-six".