863940 has 144 divisors (see below), whose sum is σ = 3217536. Its totient is φ = 168960.

The previous prime is 863921. The next prime is 863959. The reversal of 863940 is 49368.

863940 = T₅₆ + T₅₇ + ... + T₁₇₄.

863940 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 (863921) and next prime (863959).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 863898 and 863907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50812 + ... + 50828.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2⁸⁶³⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768).

863940 is an abundant number, since it is smaller than the sum of its proper divisors (2353596).

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

863940 is a wasteful number, since it uses less digits than its factorization.

863940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 863940 is about 929.4837276682. The cubic root of 863940 is about 95.2418583434.

The spelling of 863940 in words is "eight hundred sixty-three thousand, nine hundred forty".