1920681504 has 192 divisors, whose sum is σ = 6435072000. Its totient is φ = 545958144.

The previous prime is 1920681467. The next prime is 1920681517. The reversal of 1920681504 is 4051860291.

1920681504 is a `hidden beast` number, since 1 + 92 + 0 + 68 + 1 + 504 = 666.

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

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, 1372197 + ... + 1373595.

It is an arithmetic number, because the mean of its divisors is an integer number (33516000).

Almost surely, 2^1920681504 is an apocalyptic number.

1920681504 is a gapful number since it is divisible by the number (14) 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 1920681504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536000).

1920681504 is an abundant number, since it is smaller than the sum of its proper divisors (4514390496).

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

1920681504 is a wasteful number, since it uses less digits than its factorization.

1920681504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1920681504 is about 43825.5804753343. The cubic root of 1920681504 is about 1243.0400399430.

The spelling of 1920681504 in words is "one billion, nine hundred twenty million, six hundred eighty-one thousand, five hundred four".