1601043360 has 384 divisors, whose sum is σ = 6270566400. Its totient is φ = 335093760.

The previous prime is 1601043349. The next prime is 1601043361. The reversal of 1601043360 is 633401061.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1601043360.

It is not an unprimeable number, because it can be changed into a prime (1601043361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978636 + ... + 1979444.

It is an arithmetic number, because the mean of its divisors is an integer number (16329600).

Almost surely, 2^1601043360 is an apocalyptic number.

1601043360 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 1601043360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135283200).

1601043360 is an abundant number, since it is smaller than the sum of its proper divisors (4669523040).

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

1601043360 is a wasteful number, since it uses less digits than its factorization.

1601043360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1601043360 is about 40013.0398745209. The cubic root of 1601043360 is about 1169.8612736389.

The spelling of 1601043360 in words is "one billion, six hundred one million, forty-three thousand, three hundred sixty".