276164640 has 144 divisors (see below), whose sum is σ = 977453568. Its totient is φ = 73633536.

The previous prime is 276164627. The next prime is 276164641. The reversal of 276164640 is 46461672.

276164640 is a `hidden beast` number, since 2 + 7 + 6 + 1 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 276164595 and 276164604.

It is not an unprimeable number, because it can be changed into a prime (276164641) 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 23 ways as a sum of consecutive naturals, for example, 35329 + ... + 42431.

It is an arithmetic number, because the mean of its divisors is an integer number (6787872).

Almost surely, 2^276164640 is an apocalyptic number.

276164640 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 276164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488726784).

276164640 is an abundant number, since it is smaller than the sum of its proper divisors (701288928).

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

276164640 is an equidigital number, since it uses as much as digits as its factorization.

276164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 276164640 is about 16618.2020688160. The cubic root of 276164640 is about 651.2124431415.

The spelling of 276164640 in words is "two hundred seventy-six million, one hundred sixty-four thousand, six hundred forty".