1601570880 has 840 divisors, whose sum is σ = 7210565208. Its totient is φ = 334430208.

The previous prime is 1601570843. The next prime is 1601570909. The reversal of 1601570880 is 880751061.

1601570880 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 570 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 1585313856 = 4032^2 + 39816^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16510992 + ... + 16511088.

Almost surely, 2^1601570880 is an apocalyptic number.

1601570880 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 1601570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605282604).

1601570880 is an abundant number, since it is smaller than the sum of its proper divisors (5608994328).

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

1601570880 is a wasteful number, since it uses less digits than its factorization.

1601570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1601570880 is about 40019.6311827083. The cubic root of 1601570880 is about 1169.9897434998.

The spelling of 1601570880 in words is "one billion, six hundred one million, five hundred seventy thousand, eight hundred eighty".