261856288 has 24 divisors (see below), whose sum is σ = 537945408. Its totient is φ = 125235264.

The previous prime is 261856279. The next prime is 261856291. The reversal of 261856288 is 882658162.

261856288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177156 + ... + 178627.

It is an arithmetic number, because the mean of its divisors is an integer number (22414392).

Almost surely, 2^261856288 is an apocalyptic number.

It is an amenable number.

261856288 is an abundant number, since it is smaller than the sum of its proper divisors (276089120).

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

261856288 is a wasteful number, since it uses less digits than its factorization.

261856288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355816 (or 355808 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The square root of 261856288 is about 16181.9741688089. The cubic root of 261856288 is about 639.7657736636.

It can be divided in two parts, 261856 and 288, that added together give a 18-th power (262144 = 2¹⁸).

The spelling of 261856288 in words is "two hundred sixty-one million, eight hundred fifty-six thousand, two hundred eighty-eight".