860640 has 96 divisors (see below), whose sum is σ = 2975616. Its totient is φ = 207360.

The previous prime is 860623. The next prime is 860641. The reversal of 860640 is 46068.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 860640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860641) by changing a digit.

860640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5199 + ... + 5361.

It is an arithmetic number, because the mean of its divisors is an integer number (30996).

2⁸⁶⁰⁶⁴⁰ is an apocalyptic number.

860640 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 860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487808).

860640 is an abundant number, since it is smaller than the sum of its proper divisors (2114976).

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

860640 is a wasteful number, since it uses less digits than its factorization.

860640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

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

The square root of 860640 is about 927.7068502496. The cubic root of 860640 is about 95.1204381985.

It can be divided in two parts, 8606 and 40, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 860640 in words is "eight hundred sixty thousand, six hundred forty".