1921904568 has 96 divisors (see below), whose sum is σ = 5529810000. Its totient is φ = 601302528.

The previous prime is 1921904557. The next prime is 1921904599. The reversal of 1921904568 is 8654091291.

1921904568 is a `hidden beast` number, since 1 + 9 + 2 + 190 + 456 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142668 + ... + 155556.

Almost surely, 2^1921904568 is an apocalyptic number.

1921904568 is a gapful number since it is divisible by the number (18) 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 1921904568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764905000).

1921904568 is an abundant number, since it is smaller than the sum of its proper divisors (3607905432).

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

1921904568 is a wasteful number, since it uses less digits than its factorization.

1921904568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1921904568 is about 43839.5320230497. The cubic root of 1921904568 is about 1243.3038343181.

The spelling of 1921904568 in words is "one billion, nine hundred twenty-one million, nine hundred four thousand, five hundred sixty-eight".