864411648 has 112 divisors (see below), whose sum is σ = 2441722320. Its totient is φ = 271056896.

The previous prime is 864411619. The next prime is 864411659. The reversal of 864411648 is 846114468.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416758 + ... + 418826.

Almost surely, 2^864411648 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 864411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220861160).

864411648 is an abundant number, since it is smaller than the sum of its proper divisors (1577310672).

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

864411648 is a wasteful number, since it uses less digits than its factorization.

864411648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2091 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 864411648 is about 29400.8783542261. The cubic root of 864411648 is about 952.5918688471.

The spelling of 864411648 in words is "eight hundred sixty-four million, four hundred eleven thousand, six hundred forty-eight".