275040 has 72 divisors (see below), whose sum is σ = 943488. Its totient is φ = 72960.

The previous prime is 275039. The next prime is 275047. The reversal of 275040 is 40572.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1345 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2²⁷⁵⁰⁴⁰ is an apocalyptic number.

275040 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 275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

275040 is an abundant number, since it is smaller than the sum of its proper divisors (668448).

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

275040 is a wasteful number, since it uses less digits than its factorization.

275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 275040 is about 524.4425612019. The cubic root of 275040 is about 65.0327251387.

The spelling of 275040 in words is "two hundred seventy-five thousand, forty".