863640 has 48 divisors (see below), whose sum is σ = 2808000. Its totient is φ = 230208.

The previous prime is 863633. The next prime is 863641. The reversal of 863640 is 46368.

863640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863641) by changing a digit.

863640 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 11 ways as a sum of consecutive naturals, for example, 840 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

2⁸⁶³⁶⁴⁰ is an apocalyptic number.

It is an amenable number.

863640 is an abundant number, since it is smaller than the sum of its proper divisors (1944360).

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

863640 is a wasteful number, since it uses less digits than its factorization.

863640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 863640 is about 929.3223337465. The cubic root of 863640 is about 95.2308329383.

The spelling of 863640 in words is "eight hundred sixty-three thousand, six hundred forty".