860682240 has 384 divisors, whose sum is σ = 3349382400. Its totient is φ = 207912960.

The previous prime is 860682227. The next prime is 860682257. The reversal of 860682240 is 42286068.

860682240 is a `hidden beast` number, since 8 + 606 + 8 + 2 + 2 + 40 = 666.

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 junction number, because it is equal to n+sod(n) for n = 860682195 and 860682204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3041139 + ... + 3041421.

It is an arithmetic number, because the mean of its divisors is an integer number (8722350).

Almost surely, 2^860682240 is an apocalyptic number.

860682240 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 860682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674691200).

860682240 is an abundant number, since it is smaller than the sum of its proper divisors (2488700160).

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

860682240 is a wasteful number, since it uses less digits than its factorization.

860682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 860682240 is about 29337.3863866569. The cubic root of 860682240 is about 951.2199433567.

The spelling of 860682240 in words is "eight hundred sixty million, six hundred eighty-two thousand, two hundred forty".