276824140 has 48 divisors (see below), whose sum is σ = 604195200. Its totient is φ = 106410752.

The previous prime is 276824099. The next prime is 276824147. The reversal of 276824140 is 41428672.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 276824096 and 276824105.

It is not an unprimeable number, because it can be changed into a prime (276824147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137622 + ... + 139618.

It is an arithmetic number, because the mean of its divisors is an integer number (12587400).

Almost surely, 2^276824140 is an apocalyptic number.

276824140 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 276824140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302097600).

276824140 is an abundant number, since it is smaller than the sum of its proper divisors (327371060).

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

276824140 is a wasteful number, since it uses less digits than its factorization.

276824140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 276824140 is about 16638.0329366184. The cubic root of 276824140 is about 651.7304109590.

The spelling of 276824140 in words is "two hundred seventy-six million, eight hundred twenty-four thousand, one hundred forty".