1641512960 has 128 divisors (see below), whose sum is σ = 4048490160. Its totient is φ = 638582784.

The previous prime is 1641512933. The next prime is 1641512963. The reversal of 1641512960 is 692151461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1641512960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641512963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7045004 + ... + 7045236.

Almost surely, 2^1641512960 is an apocalyptic number.

1641512960 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 1641512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024245080).

1641512960 is an abundant number, since it is smaller than the sum of its proper divisors (2406977200).

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

1641512960 is an frugal number, since it uses more digits than its factorization.

1641512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 1641512960 is about 40515.5890985186. The cubic root of 1641512960 is about 1179.6362375812.

The spelling of 1641512960 in words is "one billion, six hundred forty-one million, five hundred twelve thousand, nine hundred sixty".