260688240 has 80 divisors (see below), whose sum is σ = 897933600. Its totient is φ = 69516288.

The previous prime is 260688193. The next prime is 260688257. The reversal of 260688240 is 42886062.

260688240 is a `hidden beast` number, since 2 + 606 + 8 + 8 + 2 + 40 = 666.

260688240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 260688195 and 260688204.

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, 58185 + ... + 62504.

It is an arithmetic number, because the mean of its divisors is an integer number (11224170).

Almost surely, 2^260688240 is an apocalyptic number.

260688240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260688240 is an abundant number, since it is smaller than the sum of its proper divisors (637245360).

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

260688240 is a wasteful number, since it uses less digits than its factorization.

260688240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120711 (or 120699 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 260688240 is about 16145.8428085994. The cubic root of 260688240 is about 638.8130996956.

The spelling of 260688240 in words is "two hundred sixty million, six hundred eighty-eight thousand, two hundred forty".