868190400 has 1008 divisors, whose sum is σ = 4127235840. Its totient is φ = 174182400.

The previous prime is 868190383. The next prime is 868190419. The reversal of 868190400 is 4091868.

It is a happy number.

868190400 is a `hidden beast` number, since 8 + 68 + 190 + 400 = 666.

868190400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29937586 + ... + 29937614.

It is an arithmetic number, because the mean of its divisors is an integer number (4094480).

Almost surely, 2^868190400 is an apocalyptic number.

868190400 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 868190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063617920).

868190400 is an abundant number, since it is smaller than the sum of its proper divisors (3259045440).

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

868190400 is a wasteful number, since it uses less digits than its factorization.

868190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 868190400 is about 29465.0708466822. The cubic root of 868190400 is about 953.9779275776.

The spelling of 868190400 in words is "eight hundred sixty-eight million, one hundred ninety thousand, four hundred".