261662700 has 144 divisors (see below), whose sum is σ = 822204320. Its totient is φ = 64247040.

The previous prime is 261662683. The next prime is 261662701. The reversal of 261662700 is 7266162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (261662701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658902 + ... + 659298.

Almost surely, 2^261662700 is an apocalyptic number.

261662700 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 261662700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411102160).

261662700 is an abundant number, since it is smaller than the sum of its proper divisors (560541620).

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

261662700 is a wasteful number, since it uses less digits than its factorization.

261662700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 261662700 is about 16175.9914688405. The cubic root of 261662700 is about 639.6080771007.

The spelling of 261662700 in words is "two hundred sixty-one million, six hundred sixty-two thousand, seven hundred".