1720431360 has 288 divisors, whose sum is σ = 6204602880. Its totient is φ = 451325952.

The previous prime is 1720431347. The next prime is 1720431367. The reversal of 1720431360 is 631340271.

1720431360 is a `hidden beast` number, since 172 + 0 + 431 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (1720431367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2315149 + ... + 2315891.

It is an arithmetic number, because the mean of its divisors is an integer number (21543760).

Almost surely, 2^1720431360 is an apocalyptic number.

1720431360 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 1720431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102301440).

1720431360 is an abundant number, since it is smaller than the sum of its proper divisors (4484171520).

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

1720431360 is an equidigital number, since it uses as much as digits as its factorization.

1720431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1720431360 is about 41478.0828872309. The cubic root of 1720431360 is about 1198.2454358375.

The spelling of 1720431360 in words is "one billion, seven hundred twenty million, four hundred thirty-one thousand, three hundred sixty".