1005864 has 16 divisors (see below), whose sum is σ = 2514720. Its totient is φ = 335280.

The previous prime is 1005833. The next prime is 1005883. The reversal of 1005864 is 4685001.

1005864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 41911 = 1005864 / (1 + 0 + 0 + 5 + 8 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20932 + ... + 20979.

It is an arithmetic number, because the mean of its divisors is an integer number (157170).

2^1005864 is an apocalyptic number.

It is an amenable number.

1005864 is an abundant number, since it is smaller than the sum of its proper divisors (1508856).

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

1005864 is a wasteful number, since it uses less digits than its factorization.

1005864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41920 (or 41916 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1005864 is about 1002.9277142447. The cubic root of 1005864 is about 100.1950858343.

The spelling of 1005864 in words is "one million, five thousand, eight hundred sixty-four".