1682322048 has 336 divisors, whose sum is σ = 5560364250. Its totient is φ = 506373120.

The previous prime is 1682322017. The next prime is 1682322053. The reversal of 1682322048 is 8402232861.

It can be written as a sum of positive squares in only one way, i.e., 1631513664 + 50808384 = 40392^2 + 7128^2 .

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 41 ways as a sum of consecutive naturals, for example, 11290678 + ... + 11290826.

Almost surely, 2^1682322048 is an apocalyptic number.

1682322048 is a gapful number since it is divisible by the number (18) 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 1682322048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780182125).

1682322048 is an abundant number, since it is smaller than the sum of its proper divisors (3878042202).

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

1682322048 is an equidigital number, since it uses as much as digits as its factorization.

1682322048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1682322048 is about 41016.1193678778. The cubic root of 1682322048 is about 1189.3318396803.

The spelling of 1682322048 in words is "one billion, six hundred eighty-two million, three hundred twenty-two thousand, forty-eight".