1720867680 has 288 divisors, whose sum is σ = 6961054464. Its totient is φ = 393278976.

The previous prime is 1720867679. The next prime is 1720867717. The reversal of 1720867680 is 867680271.

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

It is a super-2 number, since 2×1720867680² = 5922771144137164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268999 + ... + 275321.

It is an arithmetic number, because the mean of its divisors is an integer number (24170328).

Almost surely, 2^1720867680 is an apocalyptic number.

1720867680 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 1720867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480527232).

1720867680 is an abundant number, since it is smaller than the sum of its proper divisors (5240186784).

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

1720867680 is an equidigital number, since it uses as much as digits as its factorization.

1720867680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1720867680 is about 41483.3421990080. The cubic root of 1720867680 is about 1198.3467232761.

The spelling of 1720867680 in words is "one billion, seven hundred twenty million, eight hundred sixty-seven thousand, six hundred eighty".