261842880 has 112 divisors (see below), whose sum is σ = 895343904. Its totient is φ = 64450560.

The previous prime is 261842831. The next prime is 261842887. The reversal of 261842880 is 88248162.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261842887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990 + ... + 22970.

It is an arithmetic number, because the mean of its divisors is an integer number (7994142).

Almost surely, 2^261842880 is an apocalyptic number.

261842880 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 261842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447671952).

261842880 is an abundant number, since it is smaller than the sum of its proper divisors (633501024).

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

261842880 is a wasteful number, since it uses less digits than its factorization.

261842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21014 (or 21004 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 261842880 is about 16181.5598753643. The cubic root of 261842880 is about 639.7548540278.

The spelling of 261842880 in words is "two hundred sixty-one million, eight hundred forty-two thousand, eight hundred eighty".