260947008 has 392 divisors, whose sum is σ = 959461632. Its totient is φ = 68677632.

The previous prime is 260946989. The next prime is 260947009. The reversal of 260947008 is 800749062.

260947008 is a `hidden beast` number, since 2 + 609 + 47 + 0 + 0 + 8 = 666.

260947008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260947009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5552041 + ... + 5552087.

Almost surely, 2^260947008 is an apocalyptic number.

260947008 is a gapful number since it is divisible by the number (28) 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 260947008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479730816).

260947008 is an abundant number, since it is smaller than the sum of its proper divisors (698514624).

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

260947008 is an equidigital number, since it uses as much as digits as its factorization.

260947008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 260947008 is about 16153.8542769210. The cubic root of 260947008 is about 639.0243989890.

260947008 divided by its sum of digits (36) gives a triangular number (7248528 = T₃₈₀₇).

The spelling of 260947008 in words is "two hundred sixty million, nine hundred forty-seven thousand, eight".