1720406016 has 312 divisors, whose sum is σ = 5826749760. Its totient is φ = 478937088.

The previous prime is 1720406011. The next prime is 1720406021. The reversal of 1720406016 is 6106040271.

1720406016 is a `hidden beast` number, since 17 + 2 + 0 + 40 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1720406011) and next prime (1720406021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1720406011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15224776 + ... + 15224888.

It is an arithmetic number, because the mean of its divisors is an integer number (18675480).

Almost surely, 2^1720406016 is an apocalyptic number.

1720406016 is a gapful number since it is divisible by the number (16) 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 1720406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913374880).

1720406016 is an abundant number, since it is smaller than the sum of its proper divisors (4106343744).

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

1720406016 is a wasteful number, since it uses less digits than its factorization.

1720406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1720406016 is about 41477.7773753609. Note that the first 3 decimals coincide. The cubic root of 1720406016 is about 1198.2395519485.

Adding to 1720406016 its reverse (6106040271), we get a palindrome (7826446287).

The spelling of 1720406016 in words is "one billion, seven hundred twenty million, four hundred six thousand, sixteen".