866254080 has 288 divisors, whose sum is σ = 3014000640. Its totient is φ = 211230720.

The previous prime is 866254043. The next prime is 866254093. The reversal of 866254080 is 80452668.

It is a super-2 number, since 2×866254080² = 1500792262233292800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2261569 + ... + 2261951.

It is an arithmetic number, because the mean of its divisors is an integer number (10465280).

Almost surely, 2^866254080 is an apocalyptic number.

866254080 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 866254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507000320).

866254080 is an abundant number, since it is smaller than the sum of its proper divisors (2147746560).

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

866254080 is a wasteful number, since it uses less digits than its factorization.

866254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 866254080 is about 29432.1946174593. The cubic root of 866254080 is about 953.2681825278.

The spelling of 866254080 in words is "eight hundred sixty-six million, two hundred fifty-four thousand, eighty".