1968634368 has 120 divisors (see below), whose sum is σ = 5892414528. Its totient is φ = 656169984.

The previous prime is 1968634363. The next prime is 1968634399. The reversal of 1968634368 is 8634368691.

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 not an unprimeable number, because it can be changed into a prime (1968634361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116505 + ... + 132327.

Almost surely, 2^1968634368 is an apocalyptic number.

1968634368 is a gapful number since it is divisible by the number (18) 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 1968634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946207264).

1968634368 is an abundant number, since it is smaller than the sum of its proper divisors (3923780160).

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

1968634368 is an frugal number, since it uses more digits than its factorization.

1968634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15856 (or 15828 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 1968634368 is about 44369.2953290899. The cubic root of 1968634368 is about 1253.2999457934.

The spelling of 1968634368 in words is "one billion, nine hundred sixty-eight million, six hundred thirty-four thousand, three hundred sixty-eight".