1920720384 has 320 divisors, whose sum is σ = 6576007680. Its totient is φ = 547061760.

The previous prime is 1920720349. The next prime is 1920720407. The reversal of 1920720384 is 4830270291.

It is a super-3 number, since 3×1920720384³ (a number of 29 digits) contains 333 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2584717 + ... + 2585459.

It is an arithmetic number, because the mean of its divisors is an integer number (20550024).

Almost surely, 2^1920720384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288003840).

1920720384 is an abundant number, since it is smaller than the sum of its proper divisors (4655287296).

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

1920720384 is a wasteful number, since it uses less digits than its factorization.

1920720384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1920720384 is about 43826.0240496443. The cubic root of 1920720384 is about 1243.0484274295.

The spelling of 1920720384 in words is "one billion, nine hundred twenty million, seven hundred twenty thousand, three hundred eighty-four".