1963957104 has 120 divisors (see below), whose sum is σ = 5717467392. Its totient is φ = 652639680.

The previous prime is 1963957091. The next prime is 1963957123. The reversal of 1963957104 is 4017593691.

1963957104 is a `hidden beast` number, since 1 + 9 + 639 + 5 + 7 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1963957104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1799599 + ... + 1800689.

Almost surely, 2^1963957104 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 1963957104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858733696).

1963957104 is an abundant number, since it is smaller than the sum of its proper divisors (3753510288).

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

1963957104 is a wasteful number, since it uses less digits than its factorization.

1963957104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1963957104 is about 44316.5556423330. Note that the first 3 decimals coincide. The cubic root of 1963957104 is about 1252.3065899496.

The spelling of 1963957104 in words is "one billion, nine hundred sixty-three million, nine hundred fifty-seven thousand, one hundred four".