866935440 has 240 divisors, whose sum is σ = 3474063360. Its totient is φ = 198132480.

The previous prime is 866935423. The next prime is 866935453. The reversal of 866935440 is 44539668.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101745 + ... + 109935.

It is an arithmetic number, because the mean of its divisors is an integer number (14475264).

Almost surely, 2^866935440 is an apocalyptic number.

866935440 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 866935440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737031680).

866935440 is an abundant number, since it is smaller than the sum of its proper divisors (2607127920).

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

866935440 is a wasteful number, since it uses less digits than its factorization.

866935440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 866935440 is about 29443.7674219859. The cubic root of 866935440 is about 953.5180509375.

The spelling of 866935440 in words is "eight hundred sixty-six million, nine hundred thirty-five thousand, four hundred forty".