864966520 has 128 divisors (see below), whose sum is σ = 2236170240. Its totient is φ = 298045440.

The previous prime is 864966481. The next prime is 864966533. The reversal of 864966520 is 25669468.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1284904 + ... + 1285576.

It is an arithmetic number, because the mean of its divisors is an integer number (17470080).

Almost surely, 2^864966520 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 864966520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118085120).

864966520 is an abundant number, since it is smaller than the sum of its proper divisors (1371203720).

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

864966520 is a wasteful number, since it uses less digits than its factorization.

864966520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 864966520 is about 29410.3131571223. The cubic root of 864966520 is about 952.7956504212.

The spelling of 864966520 in words is "eight hundred sixty-four million, nine hundred sixty-six thousand, five hundred twenty".