276540 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 66880.

The previous prime is 276527. The next prime is 276553. The reversal of 276540 is 45672.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (276527) and next prime (276553).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 276540.

It is a congruent number.

It is an unprimeable number.

276540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2²⁷⁶⁵⁴⁰ is an apocalyptic number.

276540 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 276540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

276540 is an abundant number, since it is smaller than the sum of its proper divisors (570180).

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

276540 is a wasteful number, since it uses less digits than its factorization.

276540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 276540 is about 525.8707065430. The cubic root of 276540 is about 65.1507349880.

The spelling of 276540 in words is "two hundred seventy-six thousand, five hundred forty".