1682466624 has 84 divisors (see below), whose sum is σ = 4888670436. Its totient is φ = 553125888.

The previous prime is 1682466619. The next prime is 1682466631. The reversal of 1682466624 is 4266642861.

It can be written as a sum of positive squares in 2 ways, for example, as 839145024 + 843321600 = 28968^2 + 29040^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1682466624.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22042 + ... + 62054.

Almost surely, 2^1682466624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444335218).

1682466624 is an abundant number, since it is smaller than the sum of its proper divisors (3206203812).

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

1682466624 is a wasteful number, since it uses less digits than its factorization.

1682466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40104 (or 40091 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1682466624 is about 41017.8817590572. The cubic root of 1682466624 is about 1189.3659084475.

The spelling of 1682466624 in words is "one billion, six hundred eighty-two million, four hundred sixty-six thousand, six hundred twenty-four".