1720613760 has 128 divisors (see below), whose sum is σ = 5513508000. Its totient is φ = 456400896.

The previous prime is 1720613753. The next prime is 1720613767. The reversal of 1720613760 is 673160271.

It is an interprime number because it is at equal distance from previous prime (1720613753) and next prime (1720613767).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1720613760² = 5921023422202675200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1720613767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375966 + ... + 380514.

Almost surely, 2^1720613760 is an apocalyptic number.

1720613760 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 1720613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756754000).

1720613760 is an abundant number, since it is smaller than the sum of its proper divisors (3792894240).

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

1720613760 is a wasteful number, since it uses less digits than its factorization.

1720613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1720613760 is about 41480.2815805293. The cubic root of 1720613760 is about 1198.2877803040.

The spelling of 1720613760 in words is "one billion, seven hundred twenty million, six hundred thirteen thousand, seven hundred sixty".