860640000 has 360 divisors, whose sum is σ = 3141644352. Its totient is φ = 207360000.

The previous prime is 860639999. The next prime is 860640041. The reversal of 860640000 is 46068.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5279919 + ... + 5280081.

Almost surely, 2^860640000 is an apocalyptic number.

860640000 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 860640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570822176).

860640000 is an abundant number, since it is smaller than the sum of its proper divisors (2281004352).

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

860640000 is a wasteful number, since it uses less digits than its factorization.

860640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 860640000 is about 29336.6664772942. Note that the first 3 decimals coincide. The cubic root of 860640000 is about 951.2043819854.

Adding to 860640000 its reverse (46068), we get a palindrome (860686068).

The spelling of 860640000 in words is "eight hundred sixty million, six hundred forty thousand".