261466980 has 96 divisors (see below), whose sum is σ = 775004160. Its totient is φ = 65681280.

The previous prime is 261466957. The next prime is 261466981. The reversal of 261466980 is 89664162.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (261466981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239997 + ... + 241083.

It is an arithmetic number, because the mean of its divisors is an integer number (8072960).

Almost surely, 2^261466980 is an apocalyptic number.

261466980 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 261466980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387502080).

261466980 is an abundant number, since it is smaller than the sum of its proper divisors (513537180).

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

261466980 is a wasteful number, since it uses less digits than its factorization.

261466980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 261466980 is about 16169.9406306888. The cubic root of 261466980 is about 639.4485647237.

The spelling of 261466980 in words is "two hundred sixty-one million, four hundred sixty-six thousand, nine hundred eighty".