261046800 has 300 divisors, whose sum is σ = 1071645696. Its totient is φ = 59616000.

The previous prime is 261046771. The next prime is 261046801. The reversal of 261046800 is 8640162.

261046800 is a `hidden beast` number, since 2 + 610 + 46 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (261046801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226225 + ... + 227375.

Almost surely, 2^261046800 is an apocalyptic number.

261046800 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 261046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535822848).

261046800 is an abundant number, since it is smaller than the sum of its proper divisors (810598896).

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

261046800 is a wasteful number, since it uses less digits than its factorization.

261046800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 261046800 is about 16156.9427801178. The cubic root of 261046800 is about 639.1058477042.

Adding to 261046800 its reverse (8640162), we get a palindrome (269686962).

The spelling of 261046800 in words is "two hundred sixty-one million, forty-six thousand, eight hundred".