261547080 has 64 divisors (see below), whose sum is σ = 805861440. Its totient is φ = 67859712.

The previous prime is 261547079. The next prime is 261547081. The reversal of 261547080 is 80745162.

261547080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261547079) and next prime (261547081).

It is not an unprimeable number, because it can be changed into a prime (261547081) 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, 25014 + ... + 33893.

It is an arithmetic number, because the mean of its divisors is an integer number (12591585).

Almost surely, 2^261547080 is an apocalyptic number.

261547080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261547080 is an abundant number, since it is smaller than the sum of its proper divisors (544314360).

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

261547080 is a wasteful number, since it uses less digits than its factorization.

261547080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58958 (or 58954 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 261547080 is about 16172.4172590247. The cubic root of 261547080 is about 639.5138560791.

The spelling of 261547080 in words is "two hundred sixty-one million, five hundred forty-seven thousand, eighty".