1601480160 has 480 divisors, whose sum is σ = 6556999680. Its totient is φ = 360557568.

The previous prime is 1601480159. The next prime is 1601480197. The reversal of 1601480160 is 610841061.

1601480160 is a `hidden beast` number, since 1 + 601 + 48 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 11521371 + ... + 11521509.

It is an arithmetic number, because the mean of its divisors is an integer number (13660416).

Almost surely, 2^1601480160 is an apocalyptic number.

1601480160 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 1601480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278499840).

1601480160 is an abundant number, since it is smaller than the sum of its proper divisors (4955519520).

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

1601480160 is a wasteful number, since it uses less digits than its factorization.

1601480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1601480160 is about 40018.4977229281. The cubic root of 1601480160 is about 1169.9676519656.

The spelling of 1601480160 in words is "one billion, six hundred one million, four hundred eighty thousand, one hundred sixty".