863745864 has 64 divisors (see below), whose sum is σ = 2263420800. Its totient is φ = 274154496.

The previous prime is 863745863. The next prime is 863745917. The reversal of 863745864 is 468547368.

It is not an unprimeable number, because it can be changed into a prime (863745863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122992 + ... + 129824.

It is an arithmetic number, because the mean of its divisors is an integer number (35365950).

Almost surely, 2^863745864 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 863745864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131710400).

863745864 is an abundant number, since it is smaller than the sum of its proper divisors (1399674936).

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

863745864 is a wasteful number, since it uses less digits than its factorization.

863745864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7090 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 863745864 is about 29389.5536543174. The cubic root of 863745864 is about 952.3472387472.

The spelling of 863745864 in words is "eight hundred sixty-three million, seven hundred forty-five thousand, eight hundred sixty-four".