864610880 has 168 divisors, whose sum is σ = 2433693888. Its totient is φ = 291658752.

The previous prime is 864610853. The next prime is 864610891. The reversal of 864610880 is 88016468.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050149 + ... + 1050971.

Almost surely, 2^864610880 is an apocalyptic number.

864610880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216846944).

864610880 is an abundant number, since it is smaller than the sum of its proper divisors (1569083008).

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

864610880 is a wasteful number, since it uses less digits than its factorization.

864610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 864610880 is about 29404.2663571122. The cubic root of 864610880 is about 952.6650485660.

The spelling of 864610880 in words is "eight hundred sixty-four million, six hundred ten thousand, eight hundred eighty".