1682571312 has 80 divisors (see below), whose sum is σ = 4879514080. Its totient is φ = 555061248.

The previous prime is 1682571301. The next prime is 1682571361. The reversal of 1682571312 is 2131752861.

1682571312 is a `hidden beast` number, since 1 + 6 + 82 + 571 + 3 + 1 + 2 = 666.

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

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, 21828 + ... + 61980.

It is an arithmetic number, because the mean of its divisors is an integer number (60993926).

Almost surely, 2^1682571312 is an apocalyptic number.

1682571312 is a gapful number since it is divisible by the number (12) 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 1682571312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439757040).

1682571312 is an abundant number, since it is smaller than the sum of its proper divisors (3196942768).

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

1682571312 is a wasteful number, since it uses less digits than its factorization.

1682571312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40267 (or 40255 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1682571312 is about 41019.1578655633. The cubic root of 1682571312 is about 1189.3905765457.

The spelling of 1682571312 in words is "one billion, six hundred eighty-two million, five hundred seventy-one thousand, three hundred twelve".