276656640 has 320 divisors, whose sum is σ = 1014685056. Its totient is φ = 63700992.

The previous prime is 276656629. The next prime is 276656647. The reversal of 276656640 is 46656672.

276656640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 276656592 and 276656601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276656647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1697199 + ... + 1697361.

Almost surely, 2^276656640 is an apocalyptic number.

276656640 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 276656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507342528).

276656640 is an abundant number, since it is smaller than the sum of its proper divisors (738028416).

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

276656640 is a wasteful number, since it uses less digits than its factorization.

276656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 276656640 is about 16632.9985270245. The cubic root of 276656640 is about 651.5989353478.

The spelling of 276656640 in words is "two hundred seventy-six million, six hundred fifty-six thousand, six hundred forty".