1711144960 has 144 divisors (see below), whose sum is σ = 4705991136. Its totient is φ = 585105408.

The previous prime is 1711144949. The next prime is 1711144969. The reversal of 1711144960 is 694411171.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1711144969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4587334 + ... + 4587706.

It is an arithmetic number, because the mean of its divisors is an integer number (32680494).

Almost surely, 2^1711144960 is an apocalyptic number.

1711144960 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 1711144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352995568).

1711144960 is an abundant number, since it is smaller than the sum of its proper divisors (2994846176).

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

1711144960 is an frugal number, since it uses more digits than its factorization.

1711144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 1711144960 is about 41365.9879611257. The cubic root of 1711144960 is about 1196.0856155830.

The spelling of 1711144960 in words is "one billion, seven hundred eleven million, one hundred forty-four thousand, nine hundred sixty".