1601179776 has 384 divisors, whose sum is σ = 5613753600. Its totient is φ = 428212224.

The previous prime is 1601179747. The next prime is 1601179793. The reversal of 1601179776 is 6779711061.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16506960 + ... + 16507056.

It is an arithmetic number, because the mean of its divisors is an integer number (14619150).

Almost surely, 2^1601179776 is an apocalyptic number.

1601179776 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 1601179776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806876800).

1601179776 is an abundant number, since it is smaller than the sum of its proper divisors (4012573824).

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

1601179776 is a wasteful number, since it uses less digits than its factorization.

1601179776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

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

The square root of 1601179776 is about 40014.7444825029. The cubic root of 1601179776 is about 1169.8944984861.

The spelling of 1601179776 in words is "one billion, six hundred one million, one hundred seventy-nine thousand, seven hundred seventy-six".