1601372160 has 272 divisors, whose sum is σ = 5725181280. Its totient is φ = 424673280.

The previous prime is 1601372119. The next prime is 1601372161. The reversal of 1601372160 is 612731061.

1601372160 is a `hidden beast` number, since 1 + 601 + 37 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1601372161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847270 + ... + 8847450.

Almost surely, 2^1601372160 is an apocalyptic number.

1601372160 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 1601372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862590640).

1601372160 is an abundant number, since it is smaller than the sum of its proper divisors (4123809120).

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

1601372160 is an frugal number, since it uses more digits than its factorization.

1601372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1601372160 is about 40017.1483241872. The cubic root of 1601372160 is about 1169.9413514323.

The spelling of 1601372160 in words is "one billion, six hundred one million, three hundred seventy-two thousand, one hundred sixty".