866034624 has 336 divisors, whose sum is σ = 2939844768. Its totient is φ = 222953472.

The previous prime is 866034623. The next prime is 866034647. The reversal of 866034624 is 426430668.

866034624 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866034623) 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, 8928144 + ... + 8928240.

It is an arithmetic number, because the mean of its divisors is an integer number (8749538).

Almost surely, 2^866034624 is an apocalyptic number.

866034624 is a gapful number since it is divisible by the number (84) 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 866034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469922384).

866034624 is an abundant number, since it is smaller than the sum of its proper divisors (2073810144).

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

866034624 is a wasteful number, since it uses less digits than its factorization.

866034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 866034624 is about 29428.4662189520. The cubic root of 866034624 is about 953.1876757050.

The spelling of 866034624 in words is "eight hundred sixty-six million, thirty-four thousand, six hundred twenty-four".