1684145808 has 120 divisors (see below), whose sum is σ = 4837692600. Its totient is φ = 546723840.

The previous prime is 1684145791. The next prime is 1684145849. The reversal of 1684145808 is 8085414861.

1684145808 is a `hidden beast` number, since 1 + 68 + 4 + 1 + 4 + 580 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105513984 + 1578631824 = 10272^2 + 39732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1136428 + ... + 1137908.

It is an arithmetic number, because the mean of its divisors is an integer number (40314105).

Almost surely, 2^1684145808 is an apocalyptic number.

1684145808 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 1684145808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418846300).

1684145808 is an abundant number, since it is smaller than the sum of its proper divisors (3153546792).

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

1684145808 is a wasteful number, since it uses less digits than its factorization.

1684145808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1684145808 is about 41038.3455806883. The cubic root of 1684145808 is about 1189.7614586714.

The spelling of 1684145808 in words is "one billion, six hundred eighty-four million, one hundred forty-five thousand, eight hundred eight".