276177040 has 40 divisors (see below), whose sum is σ = 645693048. Its totient is φ = 109854720.

The previous prime is 276177001. The next prime is 276177049. The reversal of 276177040 is 40771672.

It can be written as a sum of positive squares in 4 ways, for example, as 33315984 + 242861056 = 5772^2 + 15584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 276176987 and 276177005.

It is not an unprimeable number, because it can be changed into a prime (276177049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4944 + ... + 24016.

Almost surely, 2^276177040 is an apocalyptic number.

276177040 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 276177040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322846524).

276177040 is an abundant number, since it is smaller than the sum of its proper divisors (369516008).

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

276177040 is a wasteful number, since it uses less digits than its factorization.

276177040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19267 (or 19261 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 276177040 is about 16618.5751495127. The cubic root of 276177040 is about 651.2221896384. Note that the first 3 decimals are identical.

The spelling of 276177040 in words is "two hundred seventy-six million, one hundred seventy-seven thousand, forty".