866379360 has 288 divisors, whose sum is σ = 3429893376. Its totient is φ = 179942400.

The previous prime is 866379359. The next prime is 866379361. The reversal of 866379360 is 63973668.

It is a happy number.

866379360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (866379359) and next prime (866379361).

It is a super-2 number, since 2×866379360² = 1501226390868019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866379361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405495 + ... + 407625.

It is an arithmetic number, because the mean of its divisors is an integer number (11909352).

Almost surely, 2^866379360 is an apocalyptic number.

866379360 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 866379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714946688).

866379360 is an abundant number, since it is smaller than the sum of its proper divisors (2563514016).

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

866379360 is a wasteful number, since it uses less digits than its factorization.

866379360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 866379360 is about 29434.3228221748. The cubic root of 866379360 is about 953.3141350506.

The spelling of 866379360 in words is "eight hundred sixty-six million, three hundred seventy-nine thousand, three hundred sixty".