1601959680 has 180 divisors, whose sum is σ = 5732475672. Its totient is φ = 427161600.

The previous prime is 1601959651. The next prime is 1601959693. The reversal of 1601959680 is 869591061.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×1601959680³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95955 + ... + 111405.

Almost surely, 2^1601959680 is an apocalyptic number.

1601959680 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 1601959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866237836).

1601959680 is an abundant number, since it is smaller than the sum of its proper divisors (4130515992).

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

1601959680 is an equidigital number, since it uses as much as digits as its factorization.

1601959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15484 (or 15461 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1601959680 is about 40024.4885039147. The cubic root of 1601959680 is about 1170.0844120557.

The spelling of 1601959680 in words is "one billion, six hundred one million, nine hundred fifty-nine thousand, six hundred eighty".