5952000 has 160 divisors (see below), whose sum is σ = 20427264. Its totient is φ = 1536000.

The previous prime is 5951993. The next prime is 5952007. The reversal of 5952000 is 2595.

It is an interprime number because it is at equal distance from previous prime (5951993) and next prime (5952007).

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (5952007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191985 + ... + 192015.

Almost surely, 2^5952000 is an apocalyptic number.

5952000 is a gapful number since it is divisible by the number (50) 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 5952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10213632).

5952000 is an abundant number, since it is smaller than the sum of its proper divisors (14475264).

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

5952000 is an equidigital number, since it uses as much as digits as its factorization.

5952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5952000 is about 2439.6721091163. The cubic root of 5952000 is about 181.2261958433.

Adding to 5952000 its reverse (2595), we get a palindrome (5954595).

The spelling of 5952000 in words is "five million, nine hundred fifty-two thousand".