866677248 has 180 divisors, whose sum is σ = 2644931718. Its totient is φ = 273162240.

The previous prime is 866677247. The next prime is 866677303. The reversal of 866677248 is 842776668.

It can be written as a sum of positive squares in only one way, i.e., 799305984 + 67371264 = 28272^2 + 8208^2 .

It is a super-2 number, since 2×866677248² = 1502258904401707008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 866677194 and 866677203.

It is not an unprimeable number, because it can be changed into a prime (866677247) 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 17 ways as a sum of consecutive naturals, for example, 1663228 + ... + 1663748.

Almost surely, 2^866677248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322465859).

866677248 is an abundant number, since it is smaller than the sum of its proper divisors (1778254470).

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

866677248 is a wasteful number, since it uses less digits than its factorization.

866677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 545 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 866677248 is about 29439.3826022218. The cubic root of 866677248 is about 953.4233821515.

The spelling of 866677248 in words is "eight hundred sixty-six million, six hundred seventy-seven thousand, two hundred forty-eight".