1963969920 has 384 divisors, whose sum is σ = 7485004800. Its totient is φ = 470568960.

The previous prime is 1963969867. The next prime is 1963969927. The reversal of 1963969920 is 299693691.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963969927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8806929 + ... + 8807151.

It is an arithmetic number, because the mean of its divisors is an integer number (19492200).

Almost surely, 2^1963969920 is an apocalyptic number.

1963969920 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 1963969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742502400).

1963969920 is an abundant number, since it is smaller than the sum of its proper divisors (5521034880).

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

1963969920 is a wasteful number, since it uses less digits than its factorization.

1963969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 1963969920 is about 44316.7002381721. The cubic root of 1963969920 is about 1252.3093139613.

The spelling of 1963969920 in words is "one billion, nine hundred sixty-three million, nine hundred sixty-nine thousand, nine hundred twenty".