863970 has 32 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 222720.

The previous prime is 863959. The next prime is 863983. The reversal of 863970 is 79368.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2⁸⁶³⁹⁷⁰ is an apocalyptic number.

It is a pronic number, being equal to 929×930.

It is a practical number, because each smaller number is the sum of distinct divisors of 863970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

863970 is an abundant number, since it is smaller than the sum of its proper divisors (1278750).

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

863970 is a wasteful number, since it uses less digits than its factorization.

863970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 863970 is about 929.4998655191. The cubic root of 863970 is about 95.2429607435.

The spelling of 863970 in words is "eight hundred sixty-three thousand, nine hundred seventy".