868410816 has 224 divisors, whose sum is σ = 2952219648. Its totient is φ = 218972160.

The previous prime is 868410811. The next prime is 868410853. The reversal of 868410816 is 618014868.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868410811) 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, 400776 + ... + 402936.

It is an arithmetic number, because the mean of its divisors is an integer number (13179552).

Almost surely, 2^868410816 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 868410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476109824).

868410816 is an abundant number, since it is smaller than the sum of its proper divisors (2083808832).

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

868410816 is a wasteful number, since it uses less digits than its factorization.

868410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 868410816 is about 29468.8109023761. The cubic root of 868410816 is about 954.0586526531.

The spelling of 868410816 in words is "eight hundred sixty-eight million, four hundred ten thousand, eight hundred sixteen".