1029820 has 48 divisors (see below), whose sum is σ = 2451456. Its totient is φ = 360000.

The previous prime is 1029803. The next prime is 1029823. The reversal of 1029820 is 289201.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1029791 and 1029800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6745 + ... + 6895.

It is an arithmetic number, because the mean of its divisors is an integer number (51072).

2^1029820 is an apocalyptic number.

1029820 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 1029820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225728).

1029820 is an abundant number, since it is smaller than the sum of its proper divisors (1421636).

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

1029820 is a wasteful number, since it uses less digits than its factorization.

1029820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1029820 is about 1014.8004729995. The cubic root of 1029820 is about 100.9842801401.

It can be divided in two parts, 1029 and 820, that added together give a square (1849 = 43²).

The spelling of 1029820 in words is "one million, twenty-nine thousand, eight hundred twenty".