866242624 has 63 divisors (see below), whose sum is σ = 1867948893. Its totient is φ = 398391552.

The previous prime is 866242621. The next prime is 866242691. The reversal of 866242624 is 426242668.

The square root of 866242624 is 29432.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 128142400 + 738100224 = 11320^2 + 27168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (866242621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3060787 + ... + 3061069.

Almost surely, 2^866242624 is an apocalyptic number.

866242624 is the 29432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866242624

866242624 is an abundant number, since it is smaller than the sum of its proper divisors (1001706269).

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

866242624 is an equidigital number, since it uses as much as digits as its factorization.

866242624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 298 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The cubic root of 866242624 is about 953.2639802624.

The spelling of 866242624 in words is "eight hundred sixty-six million, two hundred forty-two thousand, six hundred twenty-four".