1029864 has 64 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 301760.

The previous prime is 1029859. The next prime is 1029881. The reversal of 1029864 is 4689201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12367 + ... + 12449.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2^1029864 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 1029864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

1029864 is an abundant number, since it is smaller than the sum of its proper divisors (1873176).

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

1029864 is a wasteful number, since it uses less digits than its factorization.

1029864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1029864 is about 1014.8221519064. The cubic root of 1029864 is about 100.9857183348.

The spelling of 1029864 in words is "one million, twenty-nine thousand, eight hundred sixty-four".