1963613040 has 160 divisors (see below), whose sum is σ = 6404161536. Its totient is φ = 496742400.

The previous prime is 1963613027. The next prime is 1963613111. The reversal of 1963613040 is 403163691.

It is a junction number, because it is equal to n+sod(n) for n = 1963612992 and 1963613010.

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, 699640 + ... + 702440.

Almost surely, 2^1963613040 is an apocalyptic number.

1963613040 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 1963613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202080768).

1963613040 is an abundant number, since it is smaller than the sum of its proper divisors (4440548496).

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

1963613040 is a wasteful number, since it uses less digits than its factorization.

1963613040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1963613040 is about 44312.6735821706. The cubic root of 1963613040 is about 1252.2334554978.

The spelling of 1963613040 in words is "one billion, nine hundred sixty-three million, six hundred thirteen thousand, forty".