276120 has 96 divisors (see below), whose sum is σ = 982800. Its totient is φ = 66816.

The previous prime is 276113. The next prime is 276137. The reversal of 276120 is 21672.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 276093 and 276102.

It is a congruent number.

It is an unprimeable number.

276120 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 23 ways as a sum of consecutive naturals, for example, 4651 + ... + 4709.

2²⁷⁶¹²⁰ is an apocalyptic number.

276120 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 276120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

276120 is an abundant number, since it is smaller than the sum of its proper divisors (706680).

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

276120 is a wasteful number, since it uses less digits than its factorization.

276120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 276120 is about 525.4712170995. The cubic root of 276120 is about 65.1177353337.

Adding to 276120 its reverse (21672), we get a palindrome (297792).

The spelling of 276120 in words is "two hundred seventy-six thousand, one hundred twenty".