1601153568 has 480 divisors, whose sum is σ = 5927644800. Its totient is φ = 413392896.

The previous prime is 1601153557. The next prime is 1601153591. The reversal of 1601153568 is 8653511061.

1601153568 is a `hidden beast` number, since 1 + 60 + 1 + 1 + 535 + 68 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 8944903 + ... + 8945081.

It is an arithmetic number, because the mean of its divisors is an integer number (12349260).

Almost surely, 2^1601153568 is an apocalyptic number.

1601153568 is a gapful number since it is divisible by the number (18) 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 1601153568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963822400).

1601153568 is an abundant number, since it is smaller than the sum of its proper divisors (4326491232).

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

1601153568 is a wasteful number, since it uses less digits than its factorization.

1601153568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1601153568 is about 40014.4170018757. The cubic root of 1601153568 is about 1169.8881155338. Note that the first 3 decimals are identical.

The spelling of 1601153568 in words is "one billion, six hundred one million, one hundred fifty-three thousand, five hundred sixty-eight".