1689426648 has 384 divisors, whose sum is σ = 6090739200. Its totient is φ = 410572800.

The previous prime is 1689426647. The next prime is 1689426653. The reversal of 1689426648 is 8466249861.

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

It is a junction number, because it is equal to n+sod(n) for n = 1689426594 and 1689426603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689426647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5103843 + ... + 5104173.

It is an arithmetic number, because the mean of its divisors is an integer number (15861300).

Almost surely, 2^1689426648 is an apocalyptic number.

1689426648 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 1689426648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045369600).

1689426648 is an abundant number, since it is smaller than the sum of its proper divisors (4401312552).

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

1689426648 is a wasteful number, since it uses less digits than its factorization.

1689426648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 1689426648 is about 41102.6355359361. The cubic root of 1689426648 is about 1191.0037074756.

The spelling of 1689426648 in words is "one billion, six hundred eighty-nine million, four hundred twenty-six thousand, six hundred forty-eight".