860523264 has 288 divisors, whose sum is σ = 2715249600. Its totient is φ = 271724544.

The previous prime is 860523263. The next prime is 860523269. The reversal of 860523264 is 462325068.

860523264 is a `hidden beast` number, since 8 + 605 + 23 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (860523263) 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 31 ways as a sum of consecutive naturals, for example, 16236262 + ... + 16236314.

It is an arithmetic number, because the mean of its divisors is an integer number (9427950).

Almost surely, 2^860523264 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 860523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357624800).

860523264 is an abundant number, since it is smaller than the sum of its proper divisors (1854726336).

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

860523264 is an frugal number, since it uses more digits than its factorization.

860523264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 860523264 is about 29334.6768177187. The cubic root of 860523264 is about 951.1613733656.

The spelling of 860523264 in words is "eight hundred sixty million, five hundred twenty-three thousand, two hundred sixty-four".