276608640 has 256 divisors, whose sum is σ = 1099837440. Its totient is φ = 57446400.

The previous prime is 276608623. The next prime is 276608653. The reversal of 276608640 is 46806672.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146905 + ... + 148775.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2^276608640 is an apocalyptic number.

276608640 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 276608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549918720).

276608640 is an abundant number, since it is smaller than the sum of its proper divisors (823228800).

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

276608640 is a wasteful number, since it uses less digits than its factorization.

276608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 276608640 is about 16631.5555496171. Note that the first 4 decimals coincide. The cubic root of 276608640 is about 651.5612489725.

The spelling of 276608640 in words is "two hundred seventy-six million, six hundred eight thousand, six hundred forty".