1721360160 has 480 divisors, whose sum is σ = 6938637552. Its totient is φ = 398131200.

The previous prime is 1721360141. The next prime is 1721360167. The reversal of 1721360160 is 610631271.

It can be written as a sum of positive squares in 8 ways, for example, as 978688656 + 742671504 = 31284^2 + 27252^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1721360167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2863860 + ... + 2864460.

Almost surely, 2^1721360160 is an apocalyptic number.

1721360160 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 1721360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469318776).

1721360160 is an abundant number, since it is smaller than the sum of its proper divisors (5217277392).

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

1721360160 is a wasteful number, since it uses less digits than its factorization.

1721360160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1721360160 is about 41489.2776509787. The cubic root of 1721360160 is about 1198.4610271459.

The spelling of 1721360160 in words is "one billion, seven hundred twenty-one million, three hundred sixty thousand, one hundred sixty".