1682713560 has 128 divisors (see below), whose sum is σ = 5538274560. Its totient is φ = 405619200.

The previous prime is 1682713559. The next prime is 1682713619. The reversal of 1682713560 is 653172861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235399 + ... + 242441.

It is an arithmetic number, because the mean of its divisors is an integer number (43267770).

Almost surely, 2^1682713560 is an apocalyptic number.

1682713560 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 1682713560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769137280).

1682713560 is an abundant number, since it is smaller than the sum of its proper divisors (3855561000).

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

1682713560 is a wasteful number, since it uses less digits than its factorization.

1682713560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7249 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1682713560 is about 41020.8917504240. The cubic root of 1682713560 is about 1189.4240934338.

The spelling of 1682713560 in words is "one billion, six hundred eighty-two million, seven hundred thirteen thousand, five hundred sixty".