1963235040 has 384 divisors, whose sum is σ = 7264857600. Its totient is φ = 441262080.

The previous prime is 1963235039. The next prime is 1963235077. The reversal of 1963235040 is 405323691.

It is a junction number, because it is equal to n+sod(n) for n = 1963234992 and 1963235010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3437955 + ... + 3438525.

It is an arithmetic number, because the mean of its divisors is an integer number (18918900).

Almost surely, 2^1963235040 is an apocalyptic number.

1963235040 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 1963235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632428800).

1963235040 is an abundant number, since it is smaller than the sum of its proper divisors (5301622560).

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

1963235040 is a wasteful number, since it uses less digits than its factorization.

1963235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 1963235040 is about 44308.4082313955. The cubic root of 1963235040 is about 1252.1530977401.

The spelling of 1963235040 in words is "one billion, nine hundred sixty-three million, two hundred thirty-five thousand, forty".