261146600 has 192 divisors, whose sum is σ = 746202240. Its totient is φ = 83635200.

The previous prime is 261146593. The next prime is 261146609. The reversal of 261146600 is 6641162.

It is a happy number.

261146600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 261146600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261146609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657602 + ... + 657998.

It is an arithmetic number, because the mean of its divisors is an integer number (3886470).

Almost surely, 2^261146600 is an apocalyptic number.

261146600 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 261146600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373101120).

261146600 is an abundant number, since it is smaller than the sum of its proper divisors (485055640).

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

261146600 is a wasteful number, since it uses less digits than its factorization.

261146600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 261146600 is about 16160.0309405644. The cubic root of 261146600 is about 639.1872821917.

Adding to 261146600 its reverse (6641162), we get a palindrome (267787762).

It can be divided in two parts, 26 and 1146600, that multiplied together give a square (29811600 = 5460²).

The spelling of 261146600 in words is "two hundred sixty-one million, one hundred forty-six thousand, six hundred".