1601074944 has 144 divisors (see below), whose sum is σ = 5411203840. Its totient is φ = 457436160.

The previous prime is 1601074931. The next prime is 1601074999. The reversal of 1601074944 is 4494701061.

1601074944 is a `hidden beast` number, since 1 + 60 + 107 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1601074899 and 1601074908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31839 + ... + 64929.

Almost surely, 2^1601074944 is an apocalyptic number.

1601074944 is a gapful number since it is divisible by the number (14) 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 1601074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705601920).

1601074944 is an abundant number, since it is smaller than the sum of its proper divisors (3810128896).

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

1601074944 is an equidigital number, since it uses as much as digits as its factorization.

1601074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33123 (or 33103 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1601074944 is about 40013.4345439129. The cubic root of 1601074944 is about 1169.8689662591.

The spelling of 1601074944 in words is "one billion, six hundred one million, seventy-four thousand, nine hundred forty-four".