260152564 has 72 divisors (see below), whose sum is σ = 565367040. Its totient is φ = 104073984.

The previous prime is 260152553. The next prime is 260152573. The reversal of 260152564 is 465251062.

It is a congruent number.

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, 542877 + ... + 543355.

It is an arithmetic number, because the mean of its divisors is an integer number (7852320).

Almost surely, 2^260152564 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 260152564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282683520).

260152564 is an abundant number, since it is smaller than the sum of its proper divisors (305214476).

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

260152564 is a wasteful number, since it uses less digits than its factorization.

260152564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 260152564 is about 16129.2456116211. The cubic root of 260152564 is about 638.3752439872.

The spelling of 260152564 in words is "two hundred sixty million, one hundred fifty-two thousand, five hundred sixty-four".