866114640 has 320 divisors, whose sum is σ = 3203366400. Its totient is φ = 214327296.

The previous prime is 866114629. The next prime is 866114663. The reversal of 866114640 is 46411668.

866114640 is a `hidden beast` number, since 8 + 6 + 6 + 1 + 1 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 866114595 and 866114604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3782046 + ... + 3782274.

It is an arithmetic number, because the mean of its divisors is an integer number (10010520).

Almost surely, 2^866114640 is an apocalyptic number.

866114640 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 866114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601683200).

866114640 is an abundant number, since it is smaller than the sum of its proper divisors (2337251760).

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

866114640 is a wasteful number, since it uses less digits than its factorization.

866114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 866114640 is about 29429.8256875572. The cubic root of 866114640 is about 953.2170309272.

The spelling of 866114640 in words is "eight hundred sixty-six million, one hundred fourteen thousand, six hundred forty".