868233600 has 384 divisors, whose sum is σ = 3426343200. Its totient is φ = 213442560.

The previous prime is 868233551. The next prime is 868233629. The reversal of 868233600 is 6332868.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122814 + ... + 1123586.

Almost surely, 2^868233600 is an apocalyptic number.

868233600 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 868233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713171600).

868233600 is an abundant number, since it is smaller than the sum of its proper divisors (2558109600).

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

868233600 is a wasteful number, since it uses less digits than its factorization.

868233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 868233600 is about 29465.8039089382. The cubic root of 868233600 is about 953.9937502063.

The spelling of 868233600 in words is "eight hundred sixty-eight million, two hundred thirty-three thousand, six hundred".