1963880160 has 192 divisors, whose sum is σ = 6772066560. Its totient is φ = 474439680.

The previous prime is 1963880153. The next prime is 1963880173. The reversal of 1963880160 is 610883691.

1963880160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2285811 + ... + 2286669.

It is an arithmetic number, because the mean of its divisors is an integer number (35271180).

Almost surely, 2^1963880160 is an apocalyptic number.

1963880160 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 1963880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386033280).

1963880160 is an abundant number, since it is smaller than the sum of its proper divisors (4808186400).

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

1963880160 is a wasteful number, since it uses less digits than its factorization.

1963880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1963880160 is about 44315.6875158222. The cubic root of 1963880160 is about 1252.2902354280.

The spelling of 1963880160 in words is "one billion, nine hundred sixty-three million, eight hundred eighty thousand, one hundred sixty".