1968489432 has 512 divisors, whose sum is σ = 7344691200. Its totient is φ = 473776128.

The previous prime is 1968489421. The next prime is 1968489437. The reversal of 1968489432 is 2349848691.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968489437) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14368468 + ... + 14368604.

It is an arithmetic number, because the mean of its divisors is an integer number (14345100).

Almost surely, 2^1968489432 is an apocalyptic number.

1968489432 is a gapful number since it is divisible by the number (12) 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 1968489432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672345600).

1968489432 is an abundant number, since it is smaller than the sum of its proper divisors (5376201768).

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

1968489432 is a wasteful number, since it uses less digits than its factorization.

1968489432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 1968489432 is about 44367.6620073675. The cubic root of 1968489432 is about 1253.2691879675.

The spelling of 1968489432 in words is "one billion, nine hundred sixty-eight million, four hundred eighty-nine thousand, four hundred thirty-two".