275840640 has 320 divisors, whose sum is σ = 1046354760. Its totient is φ = 69009408.

The previous prime is 275840629. The next prime is 275840641. The reversal of 275840640 is 46048572.

275840640 is a `hidden beast` number, since 2 + 7 + 5 + 8 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169833024 + 106007616 = 13032^2 + 10296^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 = 275840595 and 275840604.

It is not an unprimeable number, because it can be changed into a prime (275840641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881124 + ... + 881436.

Almost surely, 2^275840640 is an apocalyptic number.

275840640 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 275840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523177380).

275840640 is an abundant number, since it is smaller than the sum of its proper divisors (770514120).

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

275840640 is a wasteful number, since it uses less digits than its factorization.

275840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 275840640 is about 16608.4508609322. The cubic root of 275840640 is about 650.9576731384.

The spelling of 275840640 in words is "two hundred seventy-five million, eight hundred forty thousand, six hundred forty".