260859520 has 64 divisors (see below), whose sum is σ = 627085800. Its totient is φ = 103763968.

The previous prime is 260859517. The next prime is 260859523. The reversal of 260859520 is 25958062.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (260859517) and next prime (260859523).

It can be written as a sum of positive squares in 4 ways, for example, as 233233984 + 27625536 = 15272^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 260859520.

It is not an unprimeable number, because it can be changed into a prime (260859523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125046 + ... + 127114.

Almost surely, 2^260859520 is an apocalyptic number.

260859520 is a gapful number since it is divisible by the number (20) 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 260859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313542900).

260859520 is an abundant number, since it is smaller than the sum of its proper divisors (366226280).

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

260859520 is a wasteful number, since it uses less digits than its factorization.

260859520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 260859520 is about 16151.1460893647. The cubic root of 260859520 is about 638.9529755275.

It can be divided in two parts, 2608 and 59520, that added together give a triangular number (62128 = T₃₅₂).

The spelling of 260859520 in words is "two hundred sixty million, eight hundred fifty-nine thousand, five hundred twenty".