1601727360 has 384 divisors, whose sum is σ = 5685724800. Its totient is φ = 382390272.

The previous prime is 1601727331. The next prime is 1601727397. The reversal of 1601727360 is 637271061.

1601727360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19297879 + ... + 19297961.

It is an arithmetic number, because the mean of its divisors is an integer number (14806575).

Almost surely, 2^1601727360 is an apocalyptic number.

1601727360 is a gapful number since it is divisible by the number (10) 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 1601727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842862400).

1601727360 is an abundant number, since it is smaller than the sum of its proper divisors (4083997440).

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

1601727360 is a wasteful number, since it uses less digits than its factorization.

1601727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1601727360 is about 40021.5861754629. The cubic root of 1601727360 is about 1170.0278465138.

The spelling of 1601727360 in words is "one billion, six hundred one million, seven hundred twenty-seven thousand, three hundred sixty".