864849024 has 384 divisors, whose sum is σ = 2940537600. Its totient is φ = 241532928.

The previous prime is 864848987. The next prime is 864849043. The reversal of 864849024 is 420948468.

864849024 is a `hidden beast` number, since 86 + 484 + 90 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 10947417 + ... + 10947495.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

Almost surely, 2^864849024 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 864849024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470268800).

864849024 is an abundant number, since it is smaller than the sum of its proper divisors (2075688576).

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

864849024 is a wasteful number, since it uses less digits than its factorization.

864849024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 864849024 is about 29408.3155586987. The cubic root of 864849024 is about 952.7525062669.

The spelling of 864849024 in words is "eight hundred sixty-four million, eight hundred forty-nine thousand, twenty-four".