261477680 has 40 divisors (see below), whose sum is σ = 643699872. Its totient is φ = 98438144.

The previous prime is 261477647. The next prime is 261477683. The reversal of 261477680 is 86774162.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (261477683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94772 + ... + 97491.

Almost surely, 2^261477680 is an apocalyptic number.

261477680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261477680 is an abundant number, since it is smaller than the sum of its proper divisors (382222192).

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

261477680 is a wasteful number, since it uses less digits than its factorization.

261477680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192293 (or 192287 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 261477680 is about 16170.2714881353. The cubic root of 261477680 is about 639.4572873118.

The spelling of 261477680 in words is "two hundred sixty-one million, four hundred seventy-seven thousand, six hundred eighty".