261676080 has 60 divisors (see below), whose sum is σ = 878797920. Its totient is φ = 69780096.

The previous prime is 261676073. The next prime is 261676091. The reversal of 261676080 is 80676162.

It is a happy number.

261676080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181000 + ... + 182439.

It is an arithmetic number, because the mean of its divisors is an integer number (14646632).

Almost surely, 2^261676080 is an apocalyptic number.

261676080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261676080 is an abundant number, since it is smaller than the sum of its proper divisors (617121840).

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

261676080 is a wasteful number, since it uses less digits than its factorization.

261676080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363458 (or 363449 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 261676080 is about 16176.4050394394. The cubic root of 261676080 is about 639.6189789350.

The spelling of 261676080 in words is "two hundred sixty-one million, six hundred seventy-six thousand, eighty".