1029000 has 128 divisors (see below), whose sum is σ = 3744000. Its totient is φ = 235200.

The previous prime is 1028999. The next prime is 1029001. The reversal of 1029000 is 9201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1028999) and next prime (1029001).

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=70.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 146997 + ... + 147003.

It is an arithmetic number, because the mean of its divisors is an integer number (29250).

2^1029000 is an apocalyptic number.

1029000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872000).

1029000 is an abundant number, since it is smaller than the sum of its proper divisors (2715000).

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

1029000 is an equidigital number, since it uses as much as digits as its factorization.

1029000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1029000 is about 1014.3963722333. The cubic root of 1029000 is about 100.9574699215.

The spelling of 1029000 in words is "one million, twenty-nine thousand".