1006434 has 96 divisors (see below), whose sum is σ = 2830464. Its totient is φ = 253440.

The previous prime is 1006433. The next prime is 1006441. The reversal of 1006434 is 4346001.

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

It is not an unprimeable number, because it can be changed into a prime (1006433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43747 + ... + 43769.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2^1006434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232).

1006434 is an abundant number, since it is smaller than the sum of its proper divisors (1824030).

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

1006434 is a wasteful number, since it uses less digits than its factorization.

1006434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1006434 is about 1003.2118420354. The cubic root of 1006434 is about 100.2140083442.

The spelling of 1006434 in words is "one million, six thousand, four hundred thirty-four".