261704900 has 36 divisors (see below), whose sum is σ = 570796800. Its totient is φ = 104148000.

The previous prime is 261704887. The next prime is 261704929. The reversal of 261704900 is 9407162.

261704900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13325 + ... + 26475.

Almost surely, 2^261704900 is an apocalyptic number.

261704900 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 261704900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285398400).

261704900 is an abundant number, since it is smaller than the sum of its proper divisors (309091900).

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

261704900 is a wasteful number, since it uses less digits than its factorization.

261704900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13364 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 261704900 is about 16177.2958185229. The cubic root of 261704900 is about 639.6424598002.

The spelling of 261704900 in words is "two hundred sixty-one million, seven hundred four thousand, nine hundred".