866238080 has 128 divisors (see below), whose sum is σ = 2149552080. Its totient is φ = 333545472.

The previous prime is 866238073. The next prime is 866238089. The reversal of 866238080 is 80832668.

It can be written as a sum of positive squares in 8 ways, for example, as 339443776 + 526794304 = 18424^2 + 22952^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×866238080² = 1500736822484172800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (866238089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3717644 + ... + 3717876.

Almost surely, 2^866238080 is an apocalyptic number.

866238080 is a gapful number since it is divisible by the number (80) 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 866238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074776040).

866238080 is an abundant number, since it is smaller than the sum of its proper divisors (1283314000).

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

866238080 is a wasteful number, since it uses less digits than its factorization.

866238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 866238080 is about 29431.9228050088. The cubic root of 866238080 is about 953.2623134319.

The spelling of 866238080 in words is "eight hundred sixty-six million, two hundred thirty-eight thousand, eighty".