1920031680 has 392 divisors, whose sum is σ = 7530468048. Its totient is φ = 413048832.

The previous prime is 1920031679. The next prime is 1920031691. The reversal of 1920031680 is 861300291.

It is a tau number, because it is divible by the number of its divisors (392).

It is a Harshad number since it is a multiple of its sum of digits (30).

1920031680 is a modest number, since divided by 31680 gives 1920 as remainder.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1666 × 1470 × 784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 112943032 + ... + 112943048.

Almost surely, 2^1920031680 is an apocalyptic number.

1920031680 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 1920031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765234024).

1920031680 is an abundant number, since it is smaller than the sum of its proper divisors (5610436368).

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

1920031680 is an frugal number, since it uses more digits than its factorization.

1920031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1920031680 is about 43818.1660958101. The cubic root of 1920031680 is about 1242.8998382555.

The spelling of 1920031680 in words is "one billion, nine hundred twenty million, thirty-one thousand, six hundred eighty".