864897660 has 144 divisors (see below), whose sum is σ = 2878267392. Its totient is φ = 208483200.

The previous prime is 864897659. The next prime is 864897673. The reversal of 864897660 is 66798468.

864897660 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 864897597 and 864897606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377037 + ... + 379323.

It is an arithmetic number, because the mean of its divisors is an integer number (19987968).

Almost surely, 2^864897660 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 864897660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439133696).

864897660 is an abundant number, since it is smaller than the sum of its proper divisors (2013369732).

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

864897660 is a wasteful number, since it uses less digits than its factorization.

864897660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 864897660 is about 29409.1424560459. The cubic root of 864897660 is about 952.7703657240.

It can be divided in two parts, 86489 and 7660, that added together give a palindrome (94149).

The spelling of 864897660 in words is "eight hundred sixty-four million, eight hundred ninety-seven thousand, six hundred sixty".