864071424 has 108 divisors (see below), whose sum is σ = 2511798016. Its totient is φ = 285659136.

The previous prime is 864071419. The next prime is 864071431. The reversal of 864071424 is 424170468.

864071424 is a `hidden beast` number, since 8 + 640 + 7 + 1 + 4 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 291132 + ... + 294084.

Almost surely, 2^864071424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255899008).

864071424 is an abundant number, since it is smaller than the sum of its proper divisors (1647726592).

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

864071424 is a wasteful number, since it uses less digits than its factorization.

864071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 864071424 is about 29395.0918352027. The cubic root of 864071424 is about 952.4668754885.

The spelling of 864071424 in words is "eight hundred sixty-four million, seventy-one thousand, four hundred twenty-four".