261867627 has 64 divisors (see below), whose sum is σ = 467804160. Its totient is φ = 141543072.

The previous prime is 261867601. The next prime is 261867653. The reversal of 261867627 is 726768162.

261867627 is a `hidden beast` number, since 2 + 6 + 18 + 6 + 7 + 627 = 666.

It is an interprime number because it is at equal distance from previous prime (261867601) and next prime (261867653).

It is not a de Polignac number, because 261867627 - 2⁶ = 261867563 is a prime.

It is a super-2 number, since 2×261867627² = 137149308141222258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261867227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464848 + ... + 465410.

It is an arithmetic number, because the mean of its divisors is an integer number (7309440).

Almost surely, 2^261867627 is an apocalyptic number.

261867627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

261867627 is a deficient number, since it is larger than the sum of its proper divisors (205936533).

261867627 is a wasteful number, since it uses less digits than its factorization.

261867627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 261867627 is about 16182.3245239984. The cubic root of 261867627 is about 639.7750079901.

The spelling of 261867627 in words is "two hundred sixty-one million, eight hundred sixty-seven thousand, six hundred twenty-seven".