1682385552 has 200 divisors, whose sum is σ = 5428447200. Its totient is φ = 499903488.

The previous prime is 1682385547. The next prime is 1682385553. The reversal of 1682385552 is 2555832861.

1682385552 is a `hidden beast` number, since 1 + 68 + 2 + 38 + 5 + 552 = 666.

It is a super-2 number, since 2×1682385552² = 5660842291156689408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1682385498 and 1682385507.

It is not an unprimeable number, because it can be changed into a prime (1682385553) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 416599 + ... + 420617.

It is an arithmetic number, because the mean of its divisors is an integer number (27142236).

Almost surely, 2^1682385552 is an apocalyptic number.

1682385552 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 1682385552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714223600).

1682385552 is an abundant number, since it is smaller than the sum of its proper divisors (3746061648).

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

1682385552 is a wasteful number, since it uses less digits than its factorization.

1682385552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4060 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 1682385552 is about 41016.8934952417. The cubic root of 1682385552 is about 1189.3468043891.

The spelling of 1682385552 in words is "one billion, six hundred eighty-two million, three hundred eighty-five thousand, five hundred fifty-two".