868215600 has 360 divisors, whose sum is σ = 3482848512. Its totient is φ = 196185600.

The previous prime is 868215587. The next prime is 868215637. The reversal of 868215600 is 6512868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3301069 + ... + 3301331.

Almost surely, 2^868215600 is an apocalyptic number.

868215600 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 868215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741424256).

868215600 is an abundant number, since it is smaller than the sum of its proper divisors (2614632912).

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

868215600 is a wasteful number, since it uses less digits than its factorization.

868215600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 868215600 is about 29465.4984685479. The cubic root of 868215600 is about 953.9871575081.

The spelling of 868215600 in words is "eight hundred sixty-eight million, two hundred fifteen thousand, six hundred".