260642000 has 100 divisors (see below), whose sum is σ = 665244996. Its totient is φ = 98769600.

The previous prime is 260641987. The next prime is 260642027. The reversal of 260642000 is 246062.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8340544 + 252301456 = 2888^2 + 15884^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13717991 + ... + 13718009.

Almost surely, 2^260642000 is an apocalyptic number.

260642000 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 260642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332622498).

260642000 is an abundant number, since it is smaller than the sum of its proper divisors (404602996).

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

260642000 is an frugal number, since it uses more digits than its factorization.

260642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 260642000 is about 16144.4107975485. The cubic root of 260642000 is about 638.7753272918.

Multiplying 260642000 by its sum of digits (20), we get a square (5212840000 = 72200²).

260642000 divided by its sum of digits (20) gives a square (13032100 = 3610²).

Adding to 260642000 its reverse (246062), we get a palindrome (260888062).

The spelling of 260642000 in words is "two hundred sixty million, six hundred forty-two thousand".