1730641920 has 256 divisors, whose sum is σ = 6341690880. Its totient is φ = 394788864.

The previous prime is 1730641909. The next prime is 1730641931. The reversal of 1730641920 is 291460371.

It is an interprime number because it is at equal distance from previous prime (1730641909) and next prime (1730641931).

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×1730641920² = 5990242910522572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3440389 + ... + 3440891.

It is an arithmetic number, because the mean of its divisors is an integer number (24772230).

Almost surely, 2^1730641920 is an apocalyptic number.

1730641920 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 1730641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170845440).

1730641920 is an abundant number, since it is smaller than the sum of its proper divisors (4611048960).

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

1730641920 is an frugal number, since it uses more digits than its factorization.

1730641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1730641920 is about 41600.9846037326. The cubic root of 1730641920 is about 1200.6112441532.

The spelling of 1730641920 in words is "one billion, seven hundred thirty million, six hundred forty-one thousand, nine hundred twenty".