864854760 has 384 divisors, whose sum is σ = 3333980160. Its totient is φ = 175633920.

The previous prime is 864854747. The next prime is 864854773. The reversal of 864854760 is 67458468.

It is an interprime number because it is at equal distance from previous prime (864854747) and next prime (864854773).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6809817 + ... + 6809943.

It is an arithmetic number, because the mean of its divisors is an integer number (8682240).

Almost surely, 2^864854760 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 864854760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666990080).

864854760 is an abundant number, since it is smaller than the sum of its proper divisors (2469125400).

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

864854760 is a wasteful number, since it uses less digits than its factorization.

864854760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 864854760 is about 29408.4130819737. The cubic root of 864854760 is about 952.7546125984.

The spelling of 864854760 in words is "eight hundred sixty-four million, eight hundred fifty-four thousand, seven hundred sixty".