260825040 has 180 divisors, whose sum is σ = 1019085444. Its totient is φ = 59609088.

The previous prime is 260825039. The next prime is 260825053. The reversal of 260825040 is 40528062.

260825040 is a `hidden beast` number, since 2 + 608 + 2 + 50 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66389904 + 194435136 = 8148^2 + 13944^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 260824995 and 260825013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31584 + ... + 38976.

Almost surely, 2^260825040 is an apocalyptic number.

260825040 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 260825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509542722).

260825040 is an abundant number, since it is smaller than the sum of its proper divisors (758260404).

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

260825040 is a wasteful number, since it uses less digits than its factorization.

260825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7410 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 260825040 is about 16150.0786375794. The cubic root of 260825040 is about 638.9248223548.

The spelling of 260825040 in words is "two hundred sixty million, eight hundred twenty-five thousand, forty".