864349200 has 720 divisors, whose sum is σ = 3727511424. Its totient is φ = 182476800.

The previous prime is 864349169. The next prime is 864349201. The reversal of 864349200 is 2943468.

It is a happy number.

864349200 is a `hidden beast` number, since 8 + 643 + 4 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864349201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11840364 + ... + 11840436.

Almost surely, 2^864349200 is an apocalyptic number.

864349200 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 864349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863755712).

864349200 is an abundant number, since it is smaller than the sum of its proper divisors (2863162224).

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

864349200 is a wasteful number, since it uses less digits than its factorization.

864349200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

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

The square root of 864349200 is about 29399.8163259569. The cubic root of 864349200 is about 952.5689288163.

The spelling of 864349200 in words is "eight hundred sixty-four million, three hundred forty-nine thousand, two hundred".