1722415968 has 384 divisors, whose sum is σ = 6514099200. Its totient is φ = 429981696.

The previous prime is 1722415963. The next prime is 1722415993. The reversal of 1722415968 is 8695142271.

1722415968 is a `hidden beast` number, since 17 + 2 + 2 + 41 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1722415963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1493280 + ... + 1494432.

It is an arithmetic number, because the mean of its divisors is an integer number (16963800).

Almost surely, 2^1722415968 is an apocalyptic number.

1722415968 is a gapful number since it is divisible by the number (18) 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 1722415968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257049600).

1722415968 is an abundant number, since it is smaller than the sum of its proper divisors (4791683232).

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

1722415968 is a wasteful number, since it uses less digits than its factorization.

1722415968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1197 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1722415968 is about 41501.9995662860. Note that the first 3 decimals coincide. The cubic root of 1722415968 is about 1198.7060051493.

The spelling of 1722415968 in words is "one billion, seven hundred twenty-two million, four hundred fifteen thousand, nine hundred sixty-eight".