860207040 has 560 divisors, whose sum is σ = 3823801344. Its totient is φ = 178329600.

The previous prime is 860207039. The next prime is 860207041. The reversal of 860207040 is 40702068.

860207040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (860207039) and next prime (860207041).

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 860206995 and 860207013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860207041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995625 + ... + 1996055.

Almost surely, 2^860207040 is an apocalyptic number.

860207040 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 860207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911900672).

860207040 is an abundant number, since it is smaller than the sum of its proper divisors (2963594304).

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

860207040 is a wasteful number, since it uses less digits than its factorization.

860207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 860207040 is about 29329.2863875001. The cubic root of 860207040 is about 951.0448485651.

The spelling of 860207040 in words is "eight hundred sixty million, two hundred seven thousand, forty".