1906056960 has 144 divisors (see below), whose sum is σ = 6132981120. Its totient is φ = 504483840.

The previous prime is 1906056959. The next prime is 1906056973. The reversal of 1906056960 is 696506091.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531975 + ... + 535545.

Almost surely, 2^1906056960 is an apocalyptic number.

1906056960 is a gapful number since it is divisible by the number (10) 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 1906056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066490560).

1906056960 is an abundant number, since it is smaller than the sum of its proper divisors (4226924160).

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

1906056960 is a wasteful number, since it uses less digits than its factorization.

1906056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 1906056960 is about 43658.4122478131. The cubic root of 1906056960 is about 1239.8770603055.

The spelling of 1906056960 in words is "one billion, nine hundred six million, fifty-six thousand, nine hundred sixty".