868030560 has 192 divisors, whose sum is σ = 3084480000. Its totient is φ = 227943936.

The previous prime is 868030531. The next prime is 868030567. The reversal of 868030560 is 65030868.

868030560 is a `hidden beast` number, since 8 + 68 + 0 + 30 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868030567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287941 + ... + 290939.

It is an arithmetic number, because the mean of its divisors is an integer number (16065000).

Almost surely, 2^868030560 is an apocalyptic number.

868030560 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 868030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542240000).

868030560 is an abundant number, since it is smaller than the sum of its proper divisors (2216449440).

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

868030560 is a wasteful number, since it uses less digits than its factorization.

868030560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 868030560 is about 29462.3583577418. The cubic root of 868030560 is about 953.9193792873.

The spelling of 868030560 in words is "eight hundred sixty-eight million, thirty thousand, five hundred sixty".