1682235648 has 144 divisors (see below), whose sum is σ = 4999296960. Its totient is φ = 557973504.

The previous prime is 1682235631. The next prime is 1682235649. The reversal of 1682235648 is 8465322861.

1682235648 is a `hidden beast` number, since 1 + 6 + 82 + 2 + 3 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1682235649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1775911 + ... + 1776857.

It is an arithmetic number, because the mean of its divisors is an integer number (34717340).

Almost surely, 2^1682235648 is an apocalyptic number.

1682235648 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 1682235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499648480).

1682235648 is an abundant number, since it is smaller than the sum of its proper divisors (3317061312).

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

1682235648 is an equidigital number, since it uses as much as digits as its factorization.

1682235648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1209 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1682235648 is about 41015.0661099065. The cubic root of 1682235648 is about 1189.3114789275.

The spelling of 1682235648 in words is "one billion, six hundred eighty-two million, two hundred thirty-five thousand, six hundred forty-eight".