5961800 has 48 divisors (see below), whose sum is σ = 14933940. Its totient is φ = 2200320.

The previous prime is 5961797. The next prime is 5961833. The reversal of 5961800 is 81695.

It can be written as a sum of positive squares in 6 ways, for example, as 662596 + 5299204 = 814^2 + 2302^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1454 + ... + 3746.

Almost surely, 2^5961800 is an apocalyptic number.

5961800 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 5961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7466970).

5961800 is an abundant number, since it is smaller than the sum of its proper divisors (8972140).

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

5961800 is a wasteful number, since it uses less digits than its factorization.

5961800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 5961800 is about 2441.6797496805. The cubic root of 5961800 is about 181.3256046062.

The spelling of 5961800 in words is "five million, nine hundred sixty-one thousand, eight hundred".