261632200 has 96 divisors (see below), whose sum is σ = 638352000. Its totient is φ = 99590400.

The previous prime is 261632191. The next prime is 261632207. The reversal of 261632200 is 2236162.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (261632207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457915 + ... + 458485.

It is an arithmetic number, because the mean of its divisors is an integer number (6649500).

Almost surely, 2^261632200 is an apocalyptic number.

261632200 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 261632200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319176000).

261632200 is an abundant number, since it is smaller than the sum of its proper divisors (376719800).

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

261632200 is a wasteful number, since it uses less digits than its factorization.

261632200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 261632200 is about 16175.0486861709. The cubic root of 261632200 is about 639.5832247439.

Adding to 261632200 its reverse (2236162), we get a palindrome (263868362).

The spelling of 261632200 in words is "two hundred sixty-one million, six hundred thirty-two thousand, two hundred".