261925200 has 180 divisors, whose sum is σ = 938674048. Its totient is φ = 67564800.

The previous prime is 261925159. The next prime is 261925243. The reversal of 261925200 is 2529162.

261925200 is a `hidden beast` number, since 2 + 619 + 25 + 20 + 0 = 666.

261925200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110427 + ... + 112773.

Almost surely, 2^261925200 is an apocalyptic number.

261925200 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 261925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469337024).

261925200 is an abundant number, since it is smaller than the sum of its proper divisors (676748848).

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

261925200 is a wasteful number, since it uses less digits than its factorization.

261925200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 261925200 is about 16184.1033115833. The cubic root of 261925200 is about 639.8218905416.

The spelling of 261925200 in words is "two hundred sixty-one million, nine hundred twenty-five thousand, two hundred".