288116676 has 135 divisors (see below), whose sum is σ = 807037693. Its totient is φ = 89622720.

The previous prime is 288116657. The next prime is 288116677. The reversal of 288116676 is 676611882.

It is a happy number.

The square root of 288116676 is 16974.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13883076 + 274233600 = 3726^2 + 16560^2 .

It is a super-2 number, since 2×288116676² = 166022437978577952, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (193536) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (288116677) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 7027216 + ... + 7027256.

Almost surely, 2^288116676 is an apocalyptic number.

288116676 is the 16974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288116676

288116676 is an abundant number, since it is smaller than the sum of its proper divisors (518921017).

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

288116676 is a wasteful number, since it uses less digits than its factorization.

288116676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 69 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The cubic root of 288116676 is about 660.4746172905.

It can be divided in two parts, 288 and 116676, that added together give a square (116964 = 342²).

The spelling of 288116676 in words is "two hundred eighty-eight million, one hundred sixteen thousand, six hundred seventy-six".