1601564160 has 320 divisors, whose sum is σ = 6046470144. Its totient is φ = 354263040.

The previous prime is 1601564147. The next prime is 1601564189. The reversal of 1601564160 is 614651061.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 51663345 + ... + 51663375.

Almost surely, 2^1601564160 is an apocalyptic number.

1601564160 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 1601564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023235072).

1601564160 is an abundant number, since it is smaller than the sum of its proper divisors (4444905984).

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

1601564160 is an frugal number, since it uses more digits than its factorization.

1601564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1601564160 is about 40019.5472238255. The cubic root of 1601564160 is about 1169.9881071185.

The spelling of 1601564160 in words is "one billion, six hundred one million, five hundred sixty-four thousand, one hundred sixty".