260909064 has 192 divisors, whose sum is σ = 849139200. Its totient is φ = 71497728.

The previous prime is 260909063. The next prime is 260909071. The reversal of 260909064 is 460909062.

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

It is not an unprimeable number, because it can be changed into a prime (260909063) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 301897 + ... + 302759.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^260909064 is an apocalyptic number.

260909064 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 260909064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

260909064 is an abundant number, since it is smaller than the sum of its proper divisors (588230136).

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

260909064 is a wasteful number, since it uses less digits than its factorization.

260909064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 260909064 is about 16152.6797776716. The cubic root of 260909064 is about 638.9934242235.

The spelling of 260909064 in words is "two hundred sixty million, nine hundred nine thousand, sixty-four".