868613760 has 512 divisors, whose sum is σ = 3619123200. Its totient is φ = 192761856.

The previous prime is 868613749. The next prime is 868613761. The reversal of 868613760 is 67316868.

It is a super-2 number, since 2×868613760² = 1508979728122675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868613761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5201197 + ... + 5201363.

It is an arithmetic number, because the mean of its divisors is an integer number (7068600).

Almost surely, 2^868613760 is an apocalyptic number.

868613760 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 868613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809561600).

868613760 is an abundant number, since it is smaller than the sum of its proper divisors (2750509440).

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

868613760 is a wasteful number, since it uses less digits than its factorization.

868613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 868613760 is about 29472.2540705661. The cubic root of 868613760 is about 954.1329667123.

The spelling of 868613760 in words is "eight hundred sixty-eight million, six hundred thirteen thousand, seven hundred sixty".