261332800 has 84 divisors (see below), whose sum is σ = 646723116. Its totient is φ = 103936000.

The previous prime is 261332791. The next prime is 261332807. The reversal of 261332800 is 8233162.

It can be written as a sum of positive squares in 6 ways, for example, as 2509056 + 258823744 = 1584^2 + 16088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261332807) 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, 372450 + ... + 373150.

Almost surely, 2^261332800 is an apocalyptic number.

261332800 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 261332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323361558).

261332800 is an abundant number, since it is smaller than the sum of its proper divisors (385390316).

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

261332800 is a wasteful number, since it uses less digits than its factorization.

261332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 261332800 is about 16165.7910415791. The cubic root of 261332800 is about 639.3391616296.

Adding to 261332800 its reverse (8233162), we get a palindrome (269565962).

The spelling of 261332800 in words is "two hundred sixty-one million, three hundred thirty-two thousand, eight hundred".