260838144 has 216 divisors, whose sum is σ = 892819200. Its totient is φ = 74400768.

The previous prime is 260838143. The next prime is 260838211. The reversal of 260838144 is 441838062.

260838144 is a `hidden beast` number, since 2 + 608 + 3 + 8 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 260838099 and 260838108.

It is not an unprimeable number, because it can be changed into a prime (260838143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435157 + ... + 435755.

Almost surely, 2^260838144 is an apocalyptic number.

260838144 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 260838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446409600).

260838144 is an abundant number, since it is smaller than the sum of its proper divisors (631981056).

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

260838144 is an frugal number, since it uses more digits than its factorization.

260838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 260838144 is about 16150.4843271030. The cubic root of 260838144 is about 638.9355221591.

The spelling of 260838144 in words is "two hundred sixty million, eight hundred thirty-eight thousand, one hundred forty-four".