261853200 has 180 divisors, whose sum is σ = 1038618048. Its totient is φ = 59846400.

The previous prime is 261853199. The next prime is 261853201. The reversal of 261853200 is 2358162.

261853200 is a `hidden beast` number, since 261 + 85 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (261853199) and next prime (261853201).

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

It is not an unprimeable number, because it can be changed into a prime (261853201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20005 + ... + 30395.

Almost surely, 2^261853200 is an apocalyptic number.

261853200 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 261853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519309024).

261853200 is an abundant number, since it is smaller than the sum of its proper divisors (776764848).

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

261853200 is a wasteful number, since it uses less digits than its factorization.

261853200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10422 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 261853200 is about 16181.8787537171. The cubic root of 261853200 is about 639.7632587925.

The spelling of 261853200 in words is "two hundred sixty-one million, eight hundred fifty-three thousand, two hundred".