864201360 has 120 divisors (see below), whose sum is σ = 2944811520. Its totient is φ = 209496320.

The previous prime is 864201347. The next prime is 864201389. The reversal of 864201360 is 63102468.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14161 + ... + 43919.

It is an arithmetic number, because the mean of its divisors is an integer number (24540096).

Almost surely, 2^864201360 is an apocalyptic number.

864201360 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 864201360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472405760).

864201360 is an abundant number, since it is smaller than the sum of its proper divisors (2080610160).

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

864201360 is a wasteful number, since it uses less digits than its factorization.

864201360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29797 (or 29780 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 864201360 is about 29397.3019170127. The cubic root of 864201360 is about 952.5146159605.

The spelling of 864201360 in words is "eight hundred sixty-four million, two hundred one thousand, three hundred sixty".