1963271040 has 128 divisors (see below), whose sum is σ = 6314004000. Its totient is φ = 518848512.

The previous prime is 1963271039. The next prime is 1963271041. The reversal of 1963271040 is 401723691.

It is an interprime number because it is at equal distance from previous prime (1963271039) and next prime (1963271041).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1963270992 and 1963271010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963271041) 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 15 ways as a sum of consecutive naturals, for example, 212436 + ... + 221484.

Almost surely, 2^1963271040 is an apocalyptic number.

1963271040 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 1963271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157002000).

1963271040 is an abundant number, since it is smaller than the sum of its proper divisors (4350732960).

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

1963271040 is a wasteful number, since it uses less digits than its factorization.

1963271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9172 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1963271040 is about 44308.8144729691. The cubic root of 1963271040 is about 1252.1607513042.

The spelling of 1963271040 in words is "one billion, nine hundred sixty-three million, two hundred seventy-one thousand, forty".