866516480 has 80 divisors (see below), whose sum is σ = 2113190640. Its totient is φ = 340672512.

The previous prime is 866516479. The next prime is 866516501. The reversal of 866516480 is 84615668.

866516480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×866516480² = 1501701620223180800, 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 7 ways as a sum of consecutive naturals, for example, 148172 + ... + 153908.

It is an arithmetic number, because the mean of its divisors is an integer number (26414883).

Almost surely, 2^866516480 is an apocalyptic number.

866516480 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 866516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056595320).

866516480 is an abundant number, since it is smaller than the sum of its proper divisors (1246674160).

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

866516480 is an equidigital number, since it uses as much as digits as its factorization.

866516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 866516480 is about 29436.6519835392. The cubic root of 866516480 is about 953.3644253909.

The spelling of 866516480 in words is "eight hundred sixty-six million, five hundred sixteen thousand, four hundred eighty".