260091648 has 216 divisors, whose sum is σ = 805769328. Its totient is φ = 83607552.

The previous prime is 260091631. The next prime is 260091661. The reversal of 260091648 is 846190062.

260091648 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 9 + 1 + 648 = 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2301640 + ... + 2301752.

Almost surely, 2^260091648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402884664).

260091648 is an abundant number, since it is smaller than the sum of its proper divisors (545677680).

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

260091648 is an equidigital number, since it uses as much as digits as its factorization.

260091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 260091648 is about 16127.3571300446. The cubic root of 260091648 is about 638.3254138652.

Adding to 260091648 its product of nonzero digits (20736), we get a square (260112384 = 16128²).

The spelling of 260091648 in words is "two hundred sixty million, ninety-one thousand, six hundred forty-eight".