5973768 has 48 divisors (see below), whose sum is σ = 16742700. Its totient is φ = 1921920.

The previous prime is 5973763. The next prime is 5973811. The reversal of 5973768 is 8673795.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5963364 + 10404 = 2442^2 + 102^2 .

It is not an unprimeable number, because it can be changed into a prime (5973763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 658 + ... + 3518.

Almost surely, 2^5973768 is an apocalyptic number.

5973768 is a gapful number since it is divisible by the number (58) 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 5973768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8371350).

5973768 is an abundant number, since it is smaller than the sum of its proper divisors (10768932).

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

5973768 is a wasteful number, since it uses less digits than its factorization.

5973768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2895 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 5973768 is about 2444.1292928157. The cubic root of 5973768 is about 181.4468573783.

The spelling of 5973768 in words is "five million, nine hundred seventy-three thousand, seven hundred sixty-eight".