1601504064 has 84 divisors (see below), whose sum is σ = 4610509956. Its totient is φ = 531499008.

The previous prime is 1601504063. The next prime is 1601504087. The reversal of 1601504064 is 4604051061.

1601504064 is a `hidden beast` number, since 1 + 601 + 50 + 4 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 850305600 + 751198464 = 29160^2 + 27408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601504063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128242 + ... + 140174.

Almost surely, 2^1601504064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305254978).

1601504064 is an abundant number, since it is smaller than the sum of its proper divisors (3009005892).

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

1601504064 is a wasteful number, since it uses less digits than its factorization.

1601504064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12184 (or 12171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1601504064 is about 40018.7963836995. The cubic root of 1601504064 is about 1169.9734729905.

The spelling of 1601504064 in words is "one billion, six hundred one million, five hundred four thousand, sixty-four".