1682788608 has 252 divisors, whose sum is σ = 5147347968. Its totient is φ = 548674560.

The previous prime is 1682788603. The next prime is 1682788609. The reversal of 1682788608 is 8068872861.

1682788608 is a `hidden beast` number, since 1 + 6 + 8 + 27 + 8 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1682788603) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13250241 + ... + 13250367.

It is an arithmetic number, because the mean of its divisors is an integer number (20425984).

Almost surely, 2^1682788608 is an apocalyptic number.

1682788608 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 1682788608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573673984).

1682788608 is an abundant number, since it is smaller than the sum of its proper divisors (3464559360).

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

1682788608 is an frugal number, since it uses more digits than its factorization.

1682788608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 1682788608 is about 41021.8064936200. The cubic root of 1682788608 is about 1189.4417757010.

The spelling of 1682788608 in words is "one billion, six hundred eighty-two million, seven hundred eighty-eight thousand, six hundred eight".