261382200 has 48 divisors (see below), whose sum is σ = 810286680. Its totient is φ = 69701760.

The previous prime is 261382139. The next prime is 261382201. The reversal of 261382200 is 2283162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261382201) 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, 217219 + ... + 218418.

Almost surely, 2^261382200 is an apocalyptic number.

261382200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261382200 is an abundant number, since it is smaller than the sum of its proper divisors (548904480).

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

261382200 is a wasteful number, since it uses less digits than its factorization.

261382200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435656 (or 435647 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 261382200 is about 16167.3188871872. The cubic root of 261382200 is about 639.3794440648.

The spelling of 261382200 in words is "two hundred sixty-one million, three hundred eighty-two thousand, two hundred".