5901200 has 30 divisors (see below), whose sum is σ = 14178594. Its totient is φ = 2360320.

The previous prime is 5901187. The next prime is 5901209. The reversal of 5901200 is 21095.

It can be written as a sum of positive squares in 3 ways, for example, as 350464 + 5550736 = 592^2 + 2356^2 .

It is a super-2 number, since 2×5901200² = 69648322880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5901209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6977 + ... + 7776.

Almost surely, 2^5901200 is an apocalyptic number.

5901200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5901200 is an abundant number, since it is smaller than the sum of its proper divisors (8277394).

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

5901200 is a wasteful number, since it uses less digits than its factorization.

5901200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14771 (or 14760 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 5901200 is about 2429.2385638302. The cubic root of 5901200 is about 180.7091367381.

Adding to 5901200 its reverse (21095), we get a palindrome (5922295).

The spelling of 5901200 in words is "five million, nine hundred one thousand, two hundred".