261948627 has 32 divisors (see below), whose sum is σ = 398534400. Its totient is φ = 169988544.

The previous prime is 261948593. The next prime is 261948629. The reversal of 261948627 is 726849162.

It is a happy number.

261948627 is a `hidden beast` number, since 2 + 6 + 19 + 4 + 8 + 627 = 666.

It is not a de Polignac number, because 261948627 - 2⁸ = 261948371 is a prime.

Its product of digits (290304) is a multiple of the sum of its prime factors (1792).

It is not an unprimeable number, because it can be changed into a prime (261948629) 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, 160188 + ... + 161814.

It is an arithmetic number, because the mean of its divisors is an integer number (12454200).

Almost surely, 2^261948627 is an apocalyptic number.

261948627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

261948627 is a deficient number, since it is larger than the sum of its proper divisors (136585773).

261948627 is a wasteful number, since it uses less digits than its factorization.

261948627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1786 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 261948627 is about 16184.8270611706. The cubic root of 261948627 is about 639.8409655302.

The spelling of 261948627 in words is "two hundred sixty-one million, nine hundred forty-eight thousand, six hundred twenty-seven".