276146640 has 480 divisors, whose sum is σ = 1228421376. Its totient is φ = 53821440.

The previous prime is 276146639. The next prime is 276146659. The reversal of 276146640 is 46641672.

276146640 is a `hidden beast` number, since 2 + 7 + 6 + 1 + 4 + 6 + 640 = 666.

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 = 276146595 and 276146604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 942334 + ... + 942626.

Almost surely, 2^276146640 is an apocalyptic number.

276146640 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 276146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614210688).

276146640 is an abundant number, since it is smaller than the sum of its proper divisors (952274736).

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

276146640 is a wasteful number, since it uses less digits than its factorization.

276146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

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

The square root of 276146640 is about 16617.6604851586. The cubic root of 276146640 is about 651.1982944817.

The spelling of 276146640 in words is "two hundred seventy-six million, one hundred forty-six thousand, six hundred forty".