1601102880 has 432 divisors, whose sum is σ = 6148298520. Its totient is φ = 377118720.

The previous prime is 1601102863. The next prime is 1601102897. The reversal of 1601102880 is 882011061.

1601102880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1601102863) and next prime (1601102897).

It can be written as a sum of positive squares in 4 ways, for example, as 737448336 + 863654544 = 27156^2 + 29388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17989876 + ... + 17989964.

Almost surely, 2^1601102880 is an apocalyptic number.

1601102880 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 1601102880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074149260).

1601102880 is an abundant number, since it is smaller than the sum of its proper divisors (4547195640).

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

1601102880 is a wasteful number, since it uses less digits than its factorization.

1601102880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1601102880 is about 40013.7836251460. The cubic root of 1601102880 is about 1169.8757702856.

The spelling of 1601102880 in words is "one billion, six hundred one million, one hundred two thousand, eight hundred eighty".