1920719680 has 112 divisors (see below), whose sum is σ = 5046390720. Its totient is φ = 690483200.

The previous prime is 1920719659. The next prime is 1920719693. The reversal of 1920719680 is 869170291.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310215 + ... + 316345.

It is an arithmetic number, because the mean of its divisors is an integer number (45057060).

Almost surely, 2^1920719680 is an apocalyptic number.

1920719680 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 1920719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523195360).

1920719680 is an abundant number, since it is smaller than the sum of its proper divisors (3125671040).

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

1920719680 is a wasteful number, since it uses less digits than its factorization.

1920719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 1920719680 is about 43826.0160178860. The cubic root of 1920719680 is about 1243.0482755583.

The spelling of 1920719680 in words is "one billion, nine hundred twenty million, seven hundred nineteen thousand, six hundred eighty".