1920893584 has 15 divisors (see below), whose sum is σ = 3722071017. Its totient is φ = 960359136.

The previous prime is 1920893581. The next prime is 1920893609. The reversal of 1920893584 is 4853980291.

The square root of 1920893584 is 43828.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1195776400 + 725117184 = 34580^2 + 26928^2 .

It is a super-2 number, since 2×1920893584² = 7379664322104730112, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1920893581) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 169834 + ... + 180790.

Almost surely, 2^1920893584 is an apocalyptic number.

1920893584 is the 43828-th square number.

It is an amenable number.

1920893584 is a deficient number, since it is larger than the sum of its proper divisors (1801177433).

1920893584 is an frugal number, since it uses more digits than its factorization.

1920893584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21922 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The cubic root of 1920893584 is about 1243.0857900632.

Multiplying 1920893584 by its sum of digits (49), we get a square (94123785616 = 306796²).

The spelling of 1920893584 in words is "one billion, nine hundred twenty million, eight hundred ninety-three thousand, five hundred eighty-four".