5971200 has 108 divisors (see below), whose sum is σ = 19769568. Its totient is φ = 1587200.

The previous prime is 5971193. The next prime is 5971243. The reversal of 5971200 is 21795.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19045 + ... + 19355.

Almost surely, 2^5971200 is an apocalyptic number.

5971200 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 5971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9884784).

5971200 is an abundant number, since it is smaller than the sum of its proper divisors (13798368).

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

5971200 is a wasteful number, since it uses less digits than its factorization.

5971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 5971200 is about 2443.6038958882. The cubic root of 5971200 is about 181.4208535610.

Adding to 5971200 its reverse (21795), we get a palindrome (5992995).

The spelling of 5971200 in words is "five million, nine hundred seventy-one thousand, two hundred".