261046200 has 96 divisors (see below), whose sum is σ = 824612400. Its totient is φ = 68290560.

The previous prime is 261046183. The next prime is 261046207. The reversal of 261046200 is 2640162.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261046207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27696 + ... + 35904.

Almost surely, 2^261046200 is an apocalyptic number.

261046200 is a gapful number since it is divisible by the number (20) 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 261046200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412306200).

261046200 is an abundant number, since it is smaller than the sum of its proper divisors (563566200).

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

261046200 is a wasteful number, since it uses less digits than its factorization.

261046200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 261046200 is about 16156.9242122379. The cubic root of 261046200 is about 639.1053580553.

Adding to 261046200 its reverse (2640162), we get a palindrome (263686362).

The spelling of 261046200 in words is "two hundred sixty-one million, forty-six thousand, two hundred".