1973568 has 56 divisors (see below), whose sum is σ = 5506720. Its totient is φ = 622080.

The previous prime is 1973567. The next prime is 1973579. The reversal of 1973568 is 8653791.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3378 + ... + 3918.

2^1973568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753360).

1973568 is an abundant number, since it is smaller than the sum of its proper divisors (3533152).

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

1973568 is a wasteful number, since it uses less digits than its factorization.

1973568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 1973568 is about 1404.8373571343. The cubic root of 1973568 is about 125.4346045333.

The spelling of 1973568 in words is "one million, nine hundred seventy-three thousand, five hundred sixty-eight".