261849600 has 180 divisors, whose sum is σ = 937499706. Its totient is φ = 69795840.

The previous prime is 261849593. The next prime is 261849617. The reversal of 261849600 is 6948162.

261849600 is a `hidden beast` number, since 2 + 6 + 1 + 8 + 49 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 237406464 + 24443136 = 15408^2 + 4944^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114064 + ... + 116336.

Almost surely, 2^261849600 is an apocalyptic number.

261849600 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 261849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468749853).

261849600 is an abundant number, since it is smaller than the sum of its proper divisors (675650106).

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

261849600 is a wasteful number, since it uses less digits than its factorization.

261849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 261849600 is about 16181.7675177961. The cubic root of 261849600 is about 639.7603269229.

The spelling of 261849600 in words is "two hundred sixty-one million, eight hundred forty-nine thousand, six hundred".