261353200 has 60 divisors (see below), whose sum is σ = 644907880. Its totient is φ = 101710080.

The previous prime is 261353167. The next prime is 261353203. The reversal of 261353200 is 2353162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261353203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5971 + ... + 23629.

Almost surely, 2^261353200 is an apocalyptic number.

261353200 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 261353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322453940).

261353200 is an abundant number, since it is smaller than the sum of its proper divisors (383554680).

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

261353200 is a wasteful number, since it uses less digits than its factorization.

261353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17714 (or 17703 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 261353200 is about 16166.4219912756. The cubic root of 261353200 is about 639.3557970967.

The spelling of 261353200 in words is "two hundred sixty-one million, three hundred fifty-three thousand, two hundred".