276416560 has 160 divisors (see below), whose sum is σ = 784949760. Its totient is φ = 88418304.

The previous prime is 276416551. The next prime is 276416573. The reversal of 276416560 is 65614672.

It is a happy number.

It is a super-2 number, since 2×276416560² = 152812229284467200, which contains 22 as substring.

It is an unprimeable number.

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, 882964 + ... + 883276.

It is an arithmetic number, because the mean of its divisors is an integer number (4905936).

Almost surely, 2^276416560 is an apocalyptic number.

276416560 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 276416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392474880).

276416560 is an abundant number, since it is smaller than the sum of its proper divisors (508533200).

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

276416560 is a wasteful number, since it uses less digits than its factorization.

276416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 276416560 is about 16625.7799817031. The cubic root of 276416560 is about 651.4103970145.

The spelling of 276416560 in words is "two hundred seventy-six million, four hundred sixteen thousand, five hundred sixty".