275938560 has 216 divisors, whose sum is σ = 1011596040. Its totient is φ = 69206016.

The previous prime is 275938541. The next prime is 275938561. The reversal of 275938560 is 65839572.

It is a happy number.

275938560 is a `hidden beast` number, since 2 + 7 + 59 + 38 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 271063296 = 2208^2 + 16464^2 .

It is a super-2 number, since 2×275938560² = 152284177789747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275938561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195136 + ... + 196544.

It is an arithmetic number, because the mean of its divisors is an integer number (4683315).

Almost surely, 2^275938560 is an apocalyptic number.

275938560 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 275938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505798020).

275938560 is an abundant number, since it is smaller than the sum of its proper divisors (735657480).

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

275938560 is a wasteful number, since it uses less digits than its factorization.

275938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 275938560 is about 16611.3984962134. The cubic root of 275938560 is about 651.0346913210.

The spelling of 275938560 in words is "two hundred seventy-five million, nine hundred thirty-eight thousand, five hundred sixty".