1961975808 has 336 divisors, whose sum is σ = 6440484960. Its totient is φ = 570949632.

The previous prime is 1961975753. The next prime is 1961975809. The reversal of 1961975808 is 8085791691.

1961975808 is a `hidden beast` number, since 19 + 619 + 7 + 5 + 8 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961975809) 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, 22044628 + ... + 22044716.

It is an arithmetic number, because the mean of its divisors is an integer number (19168110).

Almost surely, 2^1961975808 is an apocalyptic number.

1961975808 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 1961975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220242480).

1961975808 is an abundant number, since it is smaller than the sum of its proper divisors (4478509152).

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

1961975808 is a wasteful number, since it uses less digits than its factorization.

1961975808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The square root of 1961975808 is about 44294.1960983603. The cubic root of 1961975808 is about 1251.8853273763.

The spelling of 1961975808 in words is "one billion, nine hundred sixty-one million, nine hundred seventy-five thousand, eight hundred eight".