1712353680 has 240 divisors, whose sum is σ = 6117037056. Its totient is φ = 428313600.

The previous prime is 1712353667. The next prime is 1712353693. The reversal of 1712353680 is 863532171.

It is an interprime number because it is at equal distance from previous prime (1712353667) and next prime (1712353693).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876705 + ... + 878655.

Almost surely, 2^1712353680 is an apocalyptic number.

1712353680 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 1712353680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058518528).

1712353680 is an abundant number, since it is smaller than the sum of its proper divisors (4404683376).

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

1712353680 is a wasteful number, since it uses less digits than its factorization.

1712353680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1712353680 is about 41380.5954524581. The cubic root of 1712353680 is about 1196.3671799468.

The spelling of 1712353680 in words is "one billion, seven hundred twelve million, three hundred fifty-three thousand, six hundred eighty".