260262144 has 216 divisors, whose sum is σ = 799710912. Its totient is φ = 81285120.

The previous prime is 260262113. The next prime is 260262161. The reversal of 260262144 is 441262062.

260262144 is a `hidden beast` number, since 260 + 262 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3665629 + ... + 3665699.

Almost surely, 2^260262144 is an apocalyptic number.

260262144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399855456).

260262144 is an abundant number, since it is smaller than the sum of its proper divisors (539448768).

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

260262144 is a wasteful number, since it uses less digits than its factorization.

260262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 260262144 is about 16132.6421890526. The cubic root of 260262144 is about 638.4648623489.

It can be divided in two parts, 2602 and 62144, that added together give a palindrome (64746).

The spelling of 260262144 in words is "two hundred sixty million, two hundred sixty-two thousand, one hundred forty-four".