260657664 has 80 divisors (see below), whose sum is σ = 711516960. Its totient is φ = 84746240.

The previous prime is 260657653. The next prime is 260657681. The reversal of 260657664 is 466756062.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60907 + ... + 65045.

It is an arithmetic number, because the mean of its divisors is an integer number (8893962).

Almost surely, 2^260657664 is an apocalyptic number.

260657664 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 260657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355758480).

260657664 is an abundant number, since it is smaller than the sum of its proper divisors (450859296).

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

260657664 is an equidigital number, since it uses as much as digits as its factorization.

260657664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 260657664 is about 16144.8959117115. The cubic root of 260657664 is about 638.7881233573.

The spelling of 260657664 in words is "two hundred sixty million, six hundred fifty-seven thousand, six hundred sixty-four".