1968580320 has 384 divisors, whose sum is σ = 7446297600. Its totient is φ = 427671552.

The previous prime is 1968580319. The next prime is 1968580333. The reversal of 1968580320 is 230858691.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8672047 + ... + 8672273.

It is an arithmetic number, because the mean of its divisors is an integer number (19391400).

Almost surely, 2^1968580320 is an apocalyptic number.

1968580320 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 1968580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723148800).

1968580320 is an abundant number, since it is smaller than the sum of its proper divisors (5477717280).

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

1968580320 is a wasteful number, since it uses less digits than its factorization.

1968580320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1968580320 is about 44368.6862550606. The cubic root of 1968580320 is about 1253.2884760868.

The spelling of 1968580320 in words is "one billion, nine hundred sixty-eight million, five hundred eighty thousand, three hundred twenty".