1906832268 has 144 divisors (see below), whose sum is σ = 5607856800. Its totient is φ = 539904000.

The previous prime is 1906832233. The next prime is 1906832287. The reversal of 1906832268 is 8622386091.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002118 + ... + 1004018.

It is an arithmetic number, because the mean of its divisors is an integer number (38943450).

Almost surely, 2^1906832268 is an apocalyptic number.

1906832268 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 1906832268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803928400).

1906832268 is an abundant number, since it is smaller than the sum of its proper divisors (3701024532).

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

1906832268 is a wasteful number, since it uses less digits than its factorization.

1906832268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1906832268 is about 43667.2905960514. The cubic root of 1906832268 is about 1240.0451483735.

The spelling of 1906832268 in words is "one billion, nine hundred six million, eight hundred thirty-two thousand, two hundred sixty-eight".