260016000 has 128 divisors (see below), whose sum is σ = 862112160. Its totient is φ = 69324800.

The previous prime is 260015963. The next prime is 260016047. The reversal of 260016000 is 610062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45292 + ... + 50708.

Almost surely, 2^260016000 is an apocalyptic number.

260016000 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 260016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431056080).

260016000 is an abundant number, since it is smaller than the sum of its proper divisors (602096160).

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

260016000 is an equidigital number, since it uses as much as digits as its factorization.

260016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 260016000 is about 16125.0116279028. The cubic root of 260016000 is about 638.2635219340.

Adding to 260016000 its reverse (610062), we get a palindrome (260626062).

The spelling of 260016000 in words is "two hundred sixty million, sixteen thousand".