1922368320 has 378 divisors, whose sum is σ = 7144534098. Its totient is φ = 474356736.

The previous prime is 1922368319. The next prime is 1922368333. The reversal of 1922368320 is 238632291.

It can be written as a sum of positive squares in only one way, i.e., 1537894656 + 384473664 = 39216^2 + 19608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 44706219 + ... + 44706261.

Almost surely, 2^1922368320 is an apocalyptic number.

1922368320 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 1922368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572267049).

1922368320 is an abundant number, since it is smaller than the sum of its proper divisors (5222165778).

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

1922368320 is a wasteful number, since it uses less digits than its factorization.

1922368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1922368320 is about 43844.8209028159. The cubic root of 1922368320 is about 1243.4038285772.

The spelling of 1922368320 in words is "one billion, nine hundred twenty-two million, three hundred sixty-eight thousand, three hundred twenty".