1906971264 has 192 divisors, whose sum is σ = 6086976480. Its totient is φ = 568166400.

The previous prime is 1906971263. The next prime is 1906971301. The reversal of 1906971264 is 4621796091.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1906971263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771759 + ... + 774225.

Almost surely, 2^1906971264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1906971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043488240).

1906971264 is an abundant number, since it is smaller than the sum of its proper divisors (4180005216).

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

1906971264 is a wasteful number, since it uses less digits than its factorization.

1906971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1906971264 is about 43668.8821015606. The cubic root of 1906971264 is about 1240.0752781216.

The spelling of 1906971264 in words is "one billion, nine hundred six million, nine hundred seventy-one thousand, two hundred sixty-four".