1601641152 has 168 divisors, whose sum is σ = 4695444000. Its totient is φ = 521883648.

The previous prime is 1601641127. The next prime is 1601641159. The reversal of 1601641152 is 2511461061.

1601641152 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 641 + 15 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601641159) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8048349 + ... + 8048547.

Almost surely, 2^1601641152 is an apocalyptic number.

1601641152 is a gapful number since it is divisible by the number (12) 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 1601641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347722000).

1601641152 is an abundant number, since it is smaller than the sum of its proper divisors (3093802848).

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

1601641152 is a wasteful number, since it uses less digits than its factorization.

1601641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1601641152 is about 40020.5091421886. The cubic root of 1601641152 is about 1170.0068550990.

The spelling of 1601641152 in words is "one billion, six hundred one million, six hundred forty-one thousand, one hundred fifty-two".