260139264 has 288 divisors, whose sum is σ = 890072064. Its totient is φ = 65495040.

The previous prime is 260139263. The next prime is 260139277. The reversal of 260139264 is 462931062.

260139264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (260139263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3134167 + ... + 3134249.

It is an arithmetic number, because the mean of its divisors is an integer number (3090528).

Almost surely, 2^260139264 is an apocalyptic number.

260139264 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 260139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445036032).

260139264 is an abundant number, since it is smaller than the sum of its proper divisors (629932800).

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

260139264 is a wasteful number, since it uses less digits than its factorization.

260139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 260139264 is about 16128.8333118053. The cubic root of 260139264 is about 638.3643650689.

The spelling of 260139264 in words is "two hundred sixty million, one hundred thirty-nine thousand, two hundred sixty-four".