260612000 has 96 divisors (see below), whose sum is σ = 698652864. Its totient is φ = 94752000.

The previous prime is 260611987. The next prime is 260612047. The reversal of 260612000 is 216062.

260612000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×260612000² = 135837229088000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 260612000.

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, 41039 + ... + 46961.

It is an arithmetic number, because the mean of its divisors is an integer number (7277634).

Almost surely, 2^260612000 is an apocalyptic number.

260612000 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 260612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349326432).

260612000 is an abundant number, since it is smaller than the sum of its proper divisors (438040864).

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

260612000 is a wasteful number, since it uses less digits than its factorization.

260612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 260612000 is about 16143.4816566935. The cubic root of 260612000 is about 638.7508185850.

Adding to 260612000 its reverse (216062), we get a palindrome (260828062).

The spelling of 260612000 in words is "two hundred sixty million, six hundred twelve thousand".