1029420 has 144 divisors (see below), whose sum is σ = 3843840. Its totient is φ = 217728.

The previous prime is 1029409. The next prime is 1029433. The reversal of 1029420 is 249201.

1029420 = 69³ + 70³ + 71³.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1029393 and 1029402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23919 + ... + 23961.

2^1029420 is an apocalyptic number.

1029420 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 1029420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921920).

1029420 is an abundant number, since it is smaller than the sum of its proper divisors (2814420).

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

1029420 is a wasteful number, since it uses less digits than its factorization.

1029420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1029420 is about 1014.6033707809. The cubic root of 1029420 is about 100.9712037633.

The spelling of 1029420 in words is "one million, twenty-nine thousand, four hundred twenty".